{"id":33715,"date":"2023-09-02T16:07:00","date_gmt":"2023-09-02T16:07:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=33715"},"modified":"2023-09-04T04:47:36","modified_gmt":"2023-09-04T04:47:36","slug":"decimal-to-hexadecimal-converter-table-formula-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/decimal-to-hexadecimal","title":{"rendered":"Decimal to Hexadecimal Converter: Table, Formula, Examples, FAQs"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-c42b30a6-f9e8-4a8c-8186-265cacf46fd8\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimal-to-hexadecimal#0-what-is-the-decimal-to-hexadecimal-conversion>What Is the Decimal to Hexadecimal Conversion?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimal-to-hexadecimal#1-decimal-to-hexadecimal-table>Decimal to Hexadecimal Table<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimal-to-hexadecimal#2-how-to-convert-decimal-to-hexadecimal>How to Convert Decimal to Hexadecimal<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimal-to-hexadecimal#6-solved-examples-on-decimal-to-hexadecimal>Solved Examples on Decimal to Hexadecimal<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimal-to-hexadecimal#7-practice-problems-on-decimal-to-hexadecimal>Practice Problems on Decimal to Hexadecimal<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimal-to-hexadecimal#8-frequently-asked-questions-about-decimal-to-hexadecimal-conversion>Frequently Asked Questions about Decimal to Hexadecimal Conversion<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-decimal-to-hexadecimal-conversion\">What Is the Decimal to Hexadecimal Conversion?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>The decimal to hexadecimal conversion is used to convert a decimal number (base-10 number) into its hexadecimal (base-16) equivalent.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>What Is the Hexadecimal Number System?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The base of the hexadecimal system as 16. The 16 symbols used in this system are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Here, the place values are defined in terms of the powers of 16.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>What Is the Decimal Number System?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Decimal Number System is a base-10 <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number-system\"><strong>number system<\/strong><\/a><strong> that uses ten digits from 0 to 9. Here, the place values are defined in terms of powers of 10.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Decimal to hexadecimal conversion is carried out by successive division by 16. It is a simple and straightforward method. Let\u2019s learn.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimal-fractions-using-equivalence\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_convert_to_equi_frac_to_add_pt.png\" alt=\"Add Decimal Fractions Using Equivalence Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Decimal Fractions Using Equivalence Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimals-greater-than-1-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/dec_add_sub_add_dec_greater_than_1_models_pt.png\" alt=\"Add Decimals (Greater than 1) Using Model Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Decimals (Greater than 1) Using Model Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimals-less-than-1-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/dec_add_sub_add_dec_less_than_1_models_pt.png\" alt=\"Add Decimals (Less than 1) Using Model Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Decimals (Less than 1) Using Model Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimals-with-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/dec_add_sub_add_dec_with_regrouping_pt.png\" alt=\"Add Decimals with Regrouping Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Decimals with Regrouping Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimals-without-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/dec_add_sub_add_dec_without_regrouping_pt.png\" alt=\"Add Decimals without Regrouping Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Decimals without Regrouping Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/arrange-the-decimal-numbers-from-smallest-to-greatest\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_order_dec_2_pt.png\" alt=\"Arrange the Decimal Numbers From Smallest to Greatest Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Arrange the Decimal Numbers From Smallest to Greatest Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/arrange-the-decimal-numbers-in-an-order\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_order_dec_1_pt.png\" alt=\"Arrange the Decimal Numbers in an Order Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Arrange the Decimal Numbers in an Order Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/build-decimal-numbers-up-to-hundredths\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_stranded_10_gm.png\" alt=\"Build Decimal Numbers up to Hundredths Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Build Decimal Numbers up to Hundredths Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/change-decimal-numbers-into-fractions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_convert_dec_to_frac_tenths_pt.png\" alt=\"Change Decimal Numbers into Fractions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Change Decimal Numbers into Fractions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/change-decimals-from-word-form-to-fraction-form\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_convert_words_to_frac_tenths_pt.png\" alt=\"Change Decimals from Word Form to Fraction Form Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Change Decimals from Word Form to Fraction Form Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-decimal-to-hexadecimal-table\">Decimal to Hexadecimal Table<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The table shows the hexadecimal numbers equivalent to the decimal numbers from 0 to 15. This decimal to hexadecimal chart is extremely useful for the decimal to hexadecimal conversion.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Decimal Number<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Hexadecimal Number<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">4<\/td><td class=\"has-text-align-center\" data-align=\"center\">4<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">6<\/td><td class=\"has-text-align-center\" data-align=\"center\">6<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">7<\/td><td class=\"has-text-align-center\" data-align=\"center\">7<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">8<\/td><td class=\"has-text-align-center\" data-align=\"center\">8<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">9<\/td><td class=\"has-text-align-center\" data-align=\"center\">9<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">10<\/td><td class=\"has-text-align-center\" data-align=\"center\">A<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">11<\/td><td class=\"has-text-align-center\" data-align=\"center\">B<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">12<\/td><td class=\"has-text-align-center\" data-align=\"center\">C<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">13<\/td><td class=\"has-text-align-center\" data-align=\"center\">D<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">14<\/td><td class=\"has-text-align-center\" data-align=\"center\">E<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">15<\/td><td class=\"has-text-align-center\" data-align=\"center\">F<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-with-regrouping-horizontal-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-with-regrouping-horizontal-addition.jpeg\" alt=\"Add a Whole and a Decimal Number with Regrouping: Horizontal Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-with-regrouping-missing-digits\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-with-regrouping-missing-digits.jpeg\" alt=\"Add a Whole and a Decimal Number with Regrouping: Missing Digits Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-with-regrouping-missing-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-with-regrouping-missing-numbers.jpeg\" alt=\"Add a Whole and a Decimal Number with Regrouping: Missing Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-with-regrouping-vertical-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-with-regrouping-vertical-addition.jpeg\" alt=\"Add a Whole and a Decimal Number with Regrouping: Vertical Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-without-regrouping-horizontal-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-without-regrouping-horizontal-addition.jpeg\" alt=\"Add a Whole and a Decimal Number without Regrouping: Horizontal Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-without-regrouping-missing-digits\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-without-regrouping-missing-digits.jpeg\" alt=\"Add a Whole and a Decimal Number without Regrouping: Missing Digits Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-without-regrouping-missing-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-without-regrouping-missing-numbers.jpeg\" alt=\"Add a Whole and a Decimal Number without Regrouping: Missing Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-without-regrouping-vertical-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-without-regrouping-vertical-addition.jpeg\" alt=\"Add a Whole and a Decimal Number without Regrouping: Vertical Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-horizontal-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-horizontal-addition.jpeg\" alt=\"Add a Whole and a Decimal Number: Horizontal Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-horizontal-timed-practice\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-horizontal-timed-practice.jpeg\" alt=\"Add a Whole and a Decimal Number: Horizontal Timed Practice\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                   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the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-how-to-convert-decimal-to-hexadecimal\">How to Convert Decimal to Hexadecimal<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Step 1:<\/strong><strong> <\/strong>Divide the number by 16. Note down the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/quotient\">quotient<\/a> and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/remainder\">remainder<\/a>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If the quotient is 0, the remainder is the equivalent hexadecimal number.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If the quotient is not 0, go to step 2.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Step 2:<\/strong> Divide the quotient in step 1 by 16. Again, note down the quotient and remainder.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If the quotient is 0, write the remainders in reverse order to find the hexadecimal number.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If the quotient is not 0, repeat the process until we get 0 as a quotient.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(Note that when the remainder is greater than 9, we refer to the decimal to hexadecimal table mentioned above to write its hexadecimal equivalent. Replace 10, 11, 12, 13, 14, 15 by A, B, C, D, E, F respectively.)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 1: Find the hexadecimal equivalent of <\/strong><strong>(152)<\/strong><strong>10<\/strong><strong>.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Division<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Quotient<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Remainder\u00a0<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">$152 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">9<\/td><td class=\"has-text-align-center\" data-align=\"center\">8<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$9 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><td class=\"has-text-align-center\" data-align=\"center\">9<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Write the remainders in reverse order.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(152)<sub>10<\/sub> = (98)<sub>16<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 2: Convert from decimal to hexadecimal: 450<\/strong><strong><sub>10<\/sub><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Division<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Quotient<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Remainder\u00a0(decimal value)<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Remainder(Hexadecimal value)<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">$450 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">28<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$28 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\">12<\/td><td class=\"has-text-align-center\" data-align=\"center\">C<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$1 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Writing the remainders in the reverse order, we get<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">450<sub>10<\/sub> = (1C2)<sub>16<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 3: Convert to hexadecimal: 999<\/strong><strong><sub>10<\/sub><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">You can also show the division using columns.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"376\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/decimal-to-hexadecimal-conversion-of-triple-nine.png\" alt=\"Decimal to hexadecimal conversion of 999\" class=\"wp-image-33720\" title=\"Decimal to hexadecimal conversion of 999\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/decimal-to-hexadecimal-conversion-of-triple-nine.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/decimal-to-hexadecimal-conversion-of-triple-nine-300x182.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">999<sub>10<\/sub> = 3E7<sub>16<\/sub><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-decimal-to-hexadecimal-conversion-involving-the-decimal-point\">Decimal to Hexadecimal Conversion Involving the Decimal Point<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">If the decimal number has a fractional form, we convert the integer part and the fractional part to a hexadecimal system separately, and finally add them together.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To convert the fractional value into the hexadecimal system, we multiply the fractional part by 16 and note down the product as the sum of integer value and fractional part.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We repeat the process until the fractional part becomes 0. If the fractional part does not become 0, stop when you get the desired number of digits.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The integer part obtained in every step is written in the same order to get the answer.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The obtained result is the hexadecimal number of the given fractional number.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 1: Convert 0.25<\/strong><strong><sub>10<\/sub><\/strong><strong> into hexadecimal.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Here, the whole number part is 0. Let\u2019s convert the fractional part into hexadecimal.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">0.25 \u00d7 16 = 4 + 0.00<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Fractional part is 0 in the first step.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, 0.25<sub>10<\/sub> = 0.4<sub>16<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 2: Convert 16.225<\/strong><strong><sub>10<\/sub><\/strong><strong> into the hexadecimal system.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">i) Whole number part = 16<sub>10<\/sub> = 10<sub>16<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">ii) Fractional part = 0.225<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">0.225 \u00d7 16 = 3 + 0.600<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">0.600 \u00d7 16 = 9 + 0.600<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">0.600 \u00d7 16 = 9 + 0.600<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We stop here since the process will keep going forever.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">0.225 = (0.399\u2026)<sub>16<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, 16.225<sub>10 <\/sub>= (10.3999\u2026)<sub>16<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 3: 15.5<\/strong><strong><sub>10<\/sub><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">i) Whole number part = 15<sub>10<\/sub> = F<sub>16<\/sub> (from the table)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">ii) Fractional part = 0.5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">0.5 \u00d7 16 = 8 + 0.0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, 0.5<sub>10<\/sub> = 0.8<sub>16<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Finally, 15.5<sub>10 <\/sub>= F.8<sub>16<\/sub><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-facts-about-decimal-to-hexadecimal-system\">Facts about Decimal to Hexadecimal System<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-4fc3f8e1 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>The use of letters A to F in the hexadecimal number system helps in the short and concise symbolic representation of large numbers.<\/li>\n\n\n\n<li>The prefix &#8220;0x&#8221; is often used to indicate that a number is written in hexadecimal form, for example, 0xF, 0x5C2.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">In this article, we learned about decimal to hexadecimal conversion, how to use the conversion table, and the steps for the conversion. We also learned how to convert a decimal number with fractional or decimal part into a hexadecimal number. Let\u2019s solve a few examples and practice problems based on the decimal to hexadecimal conversion.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-solved-examples-on-decimal-to-hexadecimal\">Solved Examples on Decimal to Hexadecimal<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1. Convert (243)<sub>10<\/sub>into a hexadecimal system.\u00a0<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Divide 243 by 16 until the quotient is 0.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">Division<\/th><th class=\"has-text-align-center\" data-align=\"center\">Quotient<\/th><th class=\"has-text-align-center\" data-align=\"center\">Remainder (decimal value)<\/th><th class=\"has-text-align-center\" data-align=\"center\">Remainder(hexadecimal value)<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">$243 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">15<\/td><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$15 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><td class=\"has-text-align-center\" data-align=\"center\">15<\/td><td class=\"has-text-align-center\" data-align=\"center\">F<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Writing remainders in reverse order, we get<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, <strong>(243)<sub>10<\/sub> <\/strong>= <strong>(F3)<sub>16<\/sub><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2. Convert (679)<sub>10<\/sub> into a hexadecimal system.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Divide 679 repeatedly by 16 until the quotient becomes 0.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">Division<\/th><th class=\"has-text-align-center\" data-align=\"center\">Quotient<\/th><th class=\"has-text-align-center\" data-align=\"center\">Remainder (decimal value)<\/th><th class=\"has-text-align-center\" data-align=\"center\">Remainder(hexadecimal value)<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">$679 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">42<\/td><td class=\"has-text-align-center\" data-align=\"center\">7<\/td><td class=\"has-text-align-center\" data-align=\"center\">7<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$42 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">10<\/td><td class=\"has-text-align-center\" data-align=\"center\">A<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$2 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Write remainders in reverse order to find the answer.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, (679)<sub>10<\/sub> = (2A7)<sub>16<\/sub>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3. Convert (136)<sub>10<\/sub>into a hexadecimal system.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">Division<\/th><th class=\"has-text-align-center\" data-align=\"center\">Quotient<\/th><th class=\"has-text-align-center\" data-align=\"center\">Remainder (decimal value)<\/th><th class=\"has-text-align-center\" data-align=\"center\">Remainder(hexadecimal value)<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">$136 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">8<\/td><td class=\"has-text-align-center\" data-align=\"center\">8<\/td><td class=\"has-text-align-center\" data-align=\"center\">8<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$8 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><td class=\"has-text-align-center\" data-align=\"center\">8<\/td><td class=\"has-text-align-center\" data-align=\"center\">8<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Write remainders in reverse order to find the answer.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, (136)<sub>10<\/sub> = (88)<sub>16<\/sub>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>4. What is the value of (2761)<sub>10<\/sub>into a hexadecimal system?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><br><\/strong><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">Division<\/th><th class=\"has-text-align-center\" data-align=\"center\">Quotient<\/th><th class=\"has-text-align-center\" data-align=\"center\">Remainder (decimal value)<\/th><th class=\"has-text-align-center\" data-align=\"center\">Remainder(hexadecimal value)<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">$2761 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">172<\/td><td class=\"has-text-align-center\" data-align=\"center\">8<\/td><td class=\"has-text-align-center\" data-align=\"center\">9<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$172 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">10<\/td><td class=\"has-text-align-center\" data-align=\"center\">12<\/td><td class=\"has-text-align-center\" data-align=\"center\">C<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$10\\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><td class=\"has-text-align-center\" data-align=\"center\">10<\/td><td class=\"has-text-align-center\" data-align=\"center\">A<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Write remainders in reverse order to find the answer.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, (2761)<sub>10<\/sub> = (AC9)<sub>16<\/sub>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>5. Convert (548.5)<sub>10<\/sub>into the hexadecimal system.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">First, convert 548 into the hexadecimal system.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">Division<\/th><th class=\"has-text-align-center\" data-align=\"center\">Quotient<\/th><th class=\"has-text-align-center\" data-align=\"center\">Remainder (decimal value)<\/th><th class=\"has-text-align-center\" data-align=\"center\">Remainder(hexadecimal value)<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">$548 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">34<\/td><td class=\"has-text-align-center\" data-align=\"center\">4<\/td><td class=\"has-text-align-center\" data-align=\"center\">4<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$34 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$2 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">So, (548)<sub>10<\/sub> = (224)<sub>16<\/sub>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Next, we convert (0.5)<sub>10<\/sub> into the hexadecimal system.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">0.5 \u00d7 16 = 8 + 0.0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, (0.5)<sub>10<\/sub> = (0.8)<sub>16<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Adding the whole number part and the fractional part, we get<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(548.5)<sub>10<\/sub> <\/strong>=<strong> <\/strong>(224.8)<sub>16<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>6. Convert 50 from decimal to hexadecimal.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">Division<\/th><th class=\"has-text-align-center\" data-align=\"center\">Quotient<\/th><th class=\"has-text-align-center\" data-align=\"center\">Remainder (decimal value)<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">$50 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$3 \\div 16$<\/td><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, (50)<sub>10<\/sub> = (32)<sub>16<\/sub><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-practice-problems-on-decimal-to-hexadecimal\">Practice Problems on Decimal to Hexadecimal<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Decimal to Hexadecimal Converter: Table, Formula, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">On converting $(897)_{10}$ in hexadecimal system, we get:<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$(381)_{16}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$(183)_{16}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$(301)_{16}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$(138)_{16}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $(381)_{16}$<br\/>When 897 is divided by 16, the quotient is 56 and remainder is 1.<br>\r\nWhen 56 is divided by 16, the quotient is 3 and remainder is 8.<br>\r\nWhen 3 is divided by 16, the quotient is 0 and the remainder is 3.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$(897)_{10} = (381)_{16}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Convert $(10)_{10}$into a hexadecimal system.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$(F)_{16}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$(A)_{16}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$(C)_{16}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$(B)_{16}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $(A)_{16}$<br\/>The hexadecimal number system uses the letters A to F for the numbers 10 to 15 respectively.<br>\r\n$(10)_{10} = (A)_{16}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">On converting $(652)_{10}$ in hexadecimal system, we get:<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$(18C)_{16}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$(28C)_{16}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$(28D)_{16}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$(18D)_{16}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $(28C)_{16}$<br\/>When 652 is divided by 16, the quotient is 40 and the remainder is 12 which is $C_{16}$.<br>\r\nWhen 40 is divided by 16, the quotient is 2 and the remainder is 8.<br>\r\nWhen 2 is divided by 16, the quotient is 0 and the remainder is 2.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$(652)_{10} = (28C)_{16}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">What will we get if we convert $(1147)_{10}$into a hexadecimal system?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$(27B)_{16}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$(47C)_{16}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$(48B)_{16}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$(47B)_{16}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $(47B)_{16}$<br\/>When 1147 is divided by 16, the quotient is 71 and the remainder is 11, which is $B_{16}$.<br>\r\nWhen 71 is divided by 16, the quotient is 4 and the remainder is 7.<br>\r\nWhen 4 is divided by 16, the quotient is 0 and the remainder is 4.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$(1147)_{10} = (47B)_{16}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">What is the value of $(3452)_{10}$into a hexadecimal system?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$(DC7)_{16}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$(D8C)_{16}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$(D7C)_{16}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$(D7B)_{16}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $(D7C)_{16}$<br\/>When 3452 is divided by 16, the quotient is 215 and the remainder is $12 = C_{16}$.<br>\r\nWhen 215 is divided by 16, the quotient is 13 and the remainder is 7.<br>\r\nWhen 13 is divided by 16, the quotient is 0 and the remainder is $13 = D_{16}$.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$(3452)_{10} = (D7C)_{16}$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Decimal to Hexadecimal Converter: Table, Formula, Examples, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Decimal to Hexadecimal Converter\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"On converting $$(897)_{10}$$ in hexadecimal system, we get:\",\n                    \"text\": \"On converting $$(897)_{10}$$ in hexadecimal system, we get:\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"When 897 is divided by 16, the quotient is 56 and remainder is 1.<br>\r\nWhen 56 is divided by 16, the quotient is 3 and remainder is 8.<br>\r\nWhen 3 is divided by 16, the quotient is 0 and the remainder is 3.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(897)_{10} = (381)_{16}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(183)_{16}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When 897 is divided by 16, the quotient is 56 and remainder is 1.<br>\r\nWhen 56 is divided by 16, the quotient is 3 and remainder is 8.<br>\r\nWhen 3 is divided by 16, the quotient is 0 and the remainder is 3.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(897)_{10} = (381)_{16}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(301)_{16}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When 897 is divided by 16, the quotient is 56 and remainder is 1.<br>\r\nWhen 56 is divided by 16, the quotient is 3 and remainder is 8.<br>\r\nWhen 3 is divided by 16, the quotient is 0 and the remainder is 3.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(897)_{10} = (381)_{16}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(138)_{16}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When 897 is divided by 16, the quotient is 56 and remainder is 1.<br>\r\nWhen 56 is divided by 16, the quotient is 3 and remainder is 8.<br>\r\nWhen 3 is divided by 16, the quotient is 0 and the remainder is 3.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(897)_{10} = (381)_{16}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$(381)_{16}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"When 897 is divided by 16, the quotient is 56 and remainder is 1.<br>\r\nWhen 56 is divided by 16, the quotient is 3 and remainder is 8.<br>\r\nWhen 3 is divided by 16, the quotient is 0 and the remainder is 3.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(897)_{10} = (381)_{16}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"When 897 is divided by 16, the quotient is 56 and remainder is 1.<br>\r\nWhen 56 is divided by 16, the quotient is 3 and remainder is 8.<br>\r\nWhen 3 is divided by 16, the quotient is 0 and the remainder is 3.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(897)_{10} = (381)_{16}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Convert $$(10)_{10}$$into a hexadecimal system.\",\n                    \"text\": \"Convert $$(10)_{10}$$into a hexadecimal system.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The hexadecimal number system uses the letters A to F for the numbers 10 to 15 respectively.<br>\r\n$$(10)_{10} = (A)_{16}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(F)_{16}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The hexadecimal number system uses the letters A to F for the numbers 10 to 15 respectively.<br>\r\n$$(10)_{10} = (A)_{16}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(C)_{16}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The hexadecimal number system uses the letters A to F for the numbers 10 to 15 respectively.<br>\r\n$$(10)_{10} = (A)_{16}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(B)_{16}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The hexadecimal number system uses the letters A to F for the numbers 10 to 15 respectively.<br>\r\n$$(10)_{10} = (A)_{16}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$(A)_{16}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The hexadecimal number system uses the letters A to F for the numbers 10 to 15 respectively.<br>\r\n$$(10)_{10} = (A)_{16}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The hexadecimal number system uses the letters A to F for the numbers 10 to 15 respectively.<br>\r\n$$(10)_{10} = (A)_{16}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"On converting $$(652)_{10}$$ in hexadecimal system, we get:\",\n                    \"text\": \"On converting $$(652)_{10}$$ in hexadecimal system, we get:\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"When 652 is divided by 16, the quotient is 40 and the remainder is 12 which is $$C_{16}$$.<br>\r\nWhen 40 is divided by 16, the quotient is 2 and the remainder is 8.<br>\r\nWhen 2 is divided by 16, the quotient is 0 and the remainder is 2.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(652)_{10} = (28C)_{16}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(18C)_{16}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When 652 is divided by 16, the quotient is 40 and the remainder is 12 which is $$C_{16}$$.<br>\r\nWhen 40 is divided by 16, the quotient is 2 and the remainder is 8.<br>\r\nWhen 2 is divided by 16, the quotient is 0 and the remainder is 2.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(652)_{10} = (28C)_{16}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(28D)_{16}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When 652 is divided by 16, the quotient is 40 and the remainder is 12 which is $$C_{16}$$.<br>\r\nWhen 40 is divided by 16, the quotient is 2 and the remainder is 8.<br>\r\nWhen 2 is divided by 16, the quotient is 0 and the remainder is 2.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(652)_{10} = (28C)_{16}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(18D)_{16}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When 652 is divided by 16, the quotient is 40 and the remainder is 12 which is $$C_{16}$$.<br>\r\nWhen 40 is divided by 16, the quotient is 2 and the remainder is 8.<br>\r\nWhen 2 is divided by 16, the quotient is 0 and the remainder is 2.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(652)_{10} = (28C)_{16}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$(28C)_{16}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"When 652 is divided by 16, the quotient is 40 and the remainder is 12 which is $$C_{16}$$.<br>\r\nWhen 40 is divided by 16, the quotient is 2 and the remainder is 8.<br>\r\nWhen 2 is divided by 16, the quotient is 0 and the remainder is 2.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(652)_{10} = (28C)_{16}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"When 652 is divided by 16, the quotient is 40 and the remainder is 12 which is $$C_{16}$$.<br>\r\nWhen 40 is divided by 16, the quotient is 2 and the remainder is 8.<br>\r\nWhen 2 is divided by 16, the quotient is 0 and the remainder is 2.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(652)_{10} = (28C)_{16}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What will we get if we convert $$(1147)_{10}$$into a hexadecimal system?\",\n                    \"text\": \"What will we get if we convert $$(1147)_{10}$$into a hexadecimal system?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"When 1147 is divided by 16, the quotient is 71 and the remainder is 11, which is $$B_{16}$$.<br>\r\nWhen 71 is divided by 16, the quotient is 4 and the remainder is 7.<br>\r\nWhen 4 is divided by 16, the quotient is 0 and the remainder is 4.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(1147)_{10} = (47B)_{16}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(27B)_{16}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When 1147 is divided by 16, the quotient is 71 and the remainder is 11, which is $$B_{16}$$.<br>\r\nWhen 71 is divided by 16, the quotient is 4 and the remainder is 7.<br>\r\nWhen 4 is divided by 16, the quotient is 0 and the remainder is 4.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(1147)_{10} = (47B)_{16}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(47C)_{16}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When 1147 is divided by 16, the quotient is 71 and the remainder is 11, which is $$B_{16}$$.<br>\r\nWhen 71 is divided by 16, the quotient is 4 and the remainder is 7.<br>\r\nWhen 4 is divided by 16, the quotient is 0 and the remainder is 4.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(1147)_{10} = (47B)_{16}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(48B)_{16}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When 1147 is divided by 16, the quotient is 71 and the remainder is 11, which is $$B_{16}$$.<br>\r\nWhen 71 is divided by 16, the quotient is 4 and the remainder is 7.<br>\r\nWhen 4 is divided by 16, the quotient is 0 and the remainder is 4.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(1147)_{10} = (47B)_{16}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$(47B)_{16}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"When 1147 is divided by 16, the quotient is 71 and the remainder is 11, which is $$B_{16}$$.<br>\r\nWhen 71 is divided by 16, the quotient is 4 and the remainder is 7.<br>\r\nWhen 4 is divided by 16, the quotient is 0 and the remainder is 4.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(1147)_{10} = (47B)_{16}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"When 1147 is divided by 16, the quotient is 71 and the remainder is 11, which is $$B_{16}$$.<br>\r\nWhen 71 is divided by 16, the quotient is 4 and the remainder is 7.<br>\r\nWhen 4 is divided by 16, the quotient is 0 and the remainder is 4.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(1147)_{10} = (47B)_{16}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the value of $$(3452)_{10}$$into a hexadecimal system?\",\n                    \"text\": \"What is the value of $$(3452)_{10}$$into a hexadecimal system?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"When 3452 is divided by 16, the quotient is 215 and the remainder is $$12 = C_{16}$$.<br>\r\nWhen 215 is divided by 16, the quotient is 13 and the remainder is 7.<br>\r\nWhen 13 is divided by 16, the quotient is 0 and the remainder is $$13 = D_{16}$$.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(3452)_{10} = (D7C)_{16}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(DC7)_{16}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When 3452 is divided by 16, the quotient is 215 and the remainder is $$12 = C_{16}$$.<br>\r\nWhen 215 is divided by 16, the quotient is 13 and the remainder is 7.<br>\r\nWhen 13 is divided by 16, the quotient is 0 and the remainder is $$13 = D_{16}$$.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(3452)_{10} = (D7C)_{16}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(D8C)_{16}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When 3452 is divided by 16, the quotient is 215 and the remainder is $$12 = C_{16}$$.<br>\r\nWhen 215 is divided by 16, the quotient is 13 and the remainder is 7.<br>\r\nWhen 13 is divided by 16, the quotient is 0 and the remainder is $$13 = D_{16}$$.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(3452)_{10} = (D7C)_{16}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(D7B)_{16}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When 3452 is divided by 16, the quotient is 215 and the remainder is $$12 = C_{16}$$.<br>\r\nWhen 215 is divided by 16, the quotient is 13 and the remainder is 7.<br>\r\nWhen 13 is divided by 16, the quotient is 0 and the remainder is $$13 = D_{16}$$.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(3452)_{10} = (D7C)_{16}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$(D7C)_{16}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"When 3452 is divided by 16, the quotient is 215 and the remainder is $$12 = C_{16}$$.<br>\r\nWhen 215 is divided by 16, the quotient is 13 and the remainder is 7.<br>\r\nWhen 13 is divided by 16, the quotient is 0 and the remainder is $$13 = D_{16}$$.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(3452)_{10} = (D7C)_{16}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"When 3452 is divided by 16, the quotient is 215 and the remainder is $$12 = C_{16}$$.<br>\r\nWhen 215 is divided by 16, the quotient is 13 and the remainder is 7.<br>\r\nWhen 13 is divided by 16, the quotient is 0 and the remainder is $$13 = D_{16}$$.<br>\r\nWriting remainders in reverse order, we get<br>\r\n$$(3452)_{10} = (D7C)_{16}$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-frequently-asked-questions-about-decimal-to-hexadecimal-conversion\">Frequently Asked Questions about Decimal to Hexadecimal Conversion<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-f6d68ae8-8085-4fa5-8099-e694c734871f\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-f6d68ae8-8085-4fa5-8099-e694c734871f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f6d68ae8-8085-4fa5-8099-e694c734871f\"><strong>What is the base of the hexadecimal number system?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-f6d68ae8-8085-4fa5-8099-e694c734871f\">\n\n<p class=\"wp-block-paragraph\">The base of a hexadecimal system is 16.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-f6d68ae8-8085-4fa5-8099-e694c734871f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f6d68ae8-8085-4fa5-8099-e694c734871f\"><strong>Can I convert a fraction or decimal fraction to hexadecimal?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-f6d68ae8-8085-4fa5-8099-e694c734871f\">\n\n<p class=\"wp-block-paragraph\">We use the base of a hexadecimal system as 16. Each digit is 16 times more significant than the previous digit. We use the base of a binary system as 8. Each digit is 8 times more significant than the previous digit.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-f6d68ae8-8085-4fa5-8099-e694c734871f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f6d68ae8-8085-4fa5-8099-e694c734871f\"><strong>How do you convert from hexadecimal to decimal?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-f6d68ae8-8085-4fa5-8099-e694c734871f\">\n\n<p class=\"wp-block-paragraph\">Multiply each digit with the powers of 16 starting from the ones place of the number.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Example: C2<sub>16<\/sub> = 2 160+C161<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C2<sub>16<\/sub> = 2 160+12161<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C2<sub>16<\/sub> = 2 +1216<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C2<sub>16<\/sub> = 2 +192C2<sub>16<\/sub> = 194<sub>10<\/sub><\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-f6d68ae8-8085-4fa5-8099-e694c734871f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f6d68ae8-8085-4fa5-8099-e694c734871f\"><strong>What is hex FFFF in decimal?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-f6d68ae8-8085-4fa5-8099-e694c734871f\">\n\n<p class=\"wp-block-paragraph\">Hexadecimal notation FFFF equals 65535 in decimal value.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">FFFF = 15 163+15162 + 15 161+15160<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">FFFF = 61440 + 3840 + 240 + 15FFFF = 65535<sub>10<\/sub><\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-f6d68ae8-8085-4fa5-8099-e694c734871f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f6d68ae8-8085-4fa5-8099-e694c734871f\"><strong>What is the decimal to hexadecimal formula?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-f6d68ae8-8085-4fa5-8099-e694c734871f\">\n\n<p class=\"wp-block-paragraph\">The decimal to hexadecimal conversion involves dividing the decimal number by 16 and noting the remainders, then assigning hexadecimal equivalents. Reversing the remainders gives the hexadecimal representation.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Decimal to Hexadecimal Conversion? The decimal to hexadecimal conversion is used to convert a decimal number (base-10 number) into its hexadecimal (base-16) equivalent. What Is the Hexadecimal Number System? The base of the hexadecimal system as 16. The 16 symbols used in this system are 0, 1, 2, 3, 4, 5, 6, &#8230; <a title=\"Decimal to Hexadecimal Converter: Table, Formula, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/decimal-to-hexadecimal\" aria-label=\"More on Decimal to Hexadecimal Converter: Table, Formula, Examples, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-33715","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/33715","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=33715"}],"version-history":[{"count":8,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/33715\/revisions"}],"predecessor-version":[{"id":33730,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/33715\/revisions\/33730"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=33715"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=33715"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=33715"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}