{"id":34389,"date":"2023-09-25T15:18:01","date_gmt":"2023-09-25T15:18:01","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=34389"},"modified":"2024-05-03T06:06:52","modified_gmt":"2024-05-03T06:06:52","slug":"hexadecimal-to-decimal-conversion-steps-chart-facts-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/hexadecimal-to-decimal","title":{"rendered":"Hexadecimal to Decimal Conversion &#8211; Steps, Chart, Facts, Examples"},"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-bc90f8d3-f6d9-471c-971f-39c0c567444d\" 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\/hexadecimal-to-decimal#1-how-to-convert-hexadecimal-to-decimal>How to Convert Hexadecimal to Decimal<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/hexadecimal-to-decimal#2-hexadecimal-to-decimal-conversion-examples->Hexadecimal to Decimal Conversion Examples&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/hexadecimal-to-decimal#5-solved-examples-on-hexadecimal-to-decimal-conversion>Solved Examples on Hexadecimal to Decimal Conversion<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/hexadecimal-to-decimal#6-practice-problems-on-hexadecimal-to-decimal-conversion>Practice Problems on Hexadecimal to Decimal Conversion<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/hexadecimal-to-decimal#7-frequently-asked-questions-on-hexadecimal-to-decimal-conversion>Frequently Asked Questions on Hexadecimal to Decimal Conversion<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<p>What Is the Hexadecimal to Decimal Conversion?<\/p>\n\n\n\n<p><strong>The hexadecimal to decimal conversion is used to convert numbers from the base-16 number system to base-10 number system<\/strong>.&nbsp;<\/p>\n\n\n\n<p><strong>What Is the Hexadecimal Number System?<\/strong><\/p>\n\n\n\n<p>The base of a hexadecimal number system is 16. It uses the 16 symbols given by 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F to write all the numbers. The place values in the hexadecimal number system are defined in terms of powers of 16.&nbsp;<\/p>\n\n\n\n<p><strong>What Is the Decimal Number System?<\/strong><\/p>\n\n\n\n<p>Decimal number system is a base-10 <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number-system\">number system<\/a> that uses digits from 0 to 9 for representing a number with base 10. The place values are defined in terms of powers of 10.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"0-hexadecimal-to-decimal-chart\">Hexadecimal to Decimal Chart<\/h2>\n\n\n\n<p>The decimal values for the digits 0 to 9 remain the same, while the letters A to F represent decimal values 10 to 15, respectively. This table is helpful in converting hexadecimal numbers to decimal.<\/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>Hexadecimal<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Decimal&nbsp;(Equivalent Value)<\/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\">A<\/td><td class=\"has-text-align-center\" data-align=\"center\">10<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">B<\/td><td class=\"has-text-align-center\" data-align=\"center\">11<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">C<\/td><td class=\"has-text-align-center\" data-align=\"center\">12<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">D<\/td><td class=\"has-text-align-center\" data-align=\"center\">13<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">E<\/td><td class=\"has-text-align-center\" data-align=\"center\">14<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">F<\/td><td class=\"has-text-align-center\" data-align=\"center\">15<\/td><\/tr><\/tbody><\/table><\/figure>\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 = 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     checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-how-to-convert-hexadecimal-to-decimal\">How to Convert Hexadecimal to Decimal<\/h2>\n\n\n\n<p><strong>Step 1: <\/strong>Assign decimal values to each hexadecimal digit using the table given. The decimal values for the digits 0 to 9 remain the same, while the letters A to F represent decimal values 10 to 15, respectively.<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Starting from the rightmost digit, multiply each digit by the corresponding power of 16 (16 raised to the power of its position). The rightmost digit has a position of 0, the next digit to the left has a position of 1, and so on.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"598\" height=\"251\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/hexadecimal-place-values.png\" alt=\"Hexadecimal place values\" class=\"wp-image-34396\" title=\"Hexadecimal place values\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/hexadecimal-place-values.png 598w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/hexadecimal-place-values-300x126.png 300w\" sizes=\"auto, (max-width: 598px) 100vw, 598px\" \/><\/figure>\n\n\n\n<p><strong>Step 3:<\/strong> Sum up the products obtained in step 2 to get the decimal equivalent.<\/p>\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: 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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                    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=\"2-hexadecimal-to-decimal-conversion-examples-\">Hexadecimal to Decimal Conversion Examples&nbsp;<\/h2>\n\n\n\n<p>Let\u2019s discuss a few examples to understand the steps we discussed in the previous section.<\/p>\n\n\n\n<p><strong>Example 1:<\/strong> Convert $(36)_{16}$ into decimal form.&nbsp;<\/p>\n\n\n\n<p>$(3 \\times 6)_{16} = (3 \\times 16^{1}) + (6 \\times 16^{0})$<\/p>\n\n\n\n<p>$(36)_{16} = 3 \\times 16 + 6$<\/p>\n\n\n\n<p>$(36)_{16} = 48 + 6$<\/p>\n\n\n\n<p>So, $(36)_{16} = (54)_{10}$<\/p>\n\n\n\n<p><strong>Example 2: <\/strong>$(2A5D)_{16}$<\/p>\n\n\n\n<p>In this example, we will first obtain the decimal equivalent for the symbol A and D from the conversion table given below.&nbsp;<\/p>\n\n\n\n<p>A = 10, D = 13<\/p>\n\n\n\n<p>Thus, $(2A5D)_{16} = (2 \\times 16^{3})+(10 \\times 16^{2}) + (5 \\times 16^{1}) + (13 \\times 16^{0})$<\/p>\n\n\n\n<p>$(2A5D)_{16} = (2 \\times 4096) + (10 \\times 256) + (5 \\times 16) + (13 \\times 1)$<\/p>\n\n\n\n<p>$(2A5D)_{16} = (10845)_{10}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-facts-about-hexadecimal-to-decimal-conversion\">Facts about Hexadecimal to Decimal Conversion<\/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-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>To convert a hexadecimal number to decimal, each digit is multiplied by the corresponding power of 16 and then the products are added together. The rightmost digit represents the units place, the next digit to the left represents the 16s place, the next digit represents the 256s place, and so on.<\/li>\n\n\n\n<li>The decimal equivalent of the hexadecimal digit &#8220;A&#8221; is 10, &#8220;B&#8221; is 11, &#8220;C&#8221; is 12, &#8220;D&#8221; is 13, &#8220;E&#8221; is 14, and &#8220;F&#8221; is 15.<\/li>\n\n\n\n<li>Hexadecimal numbers are often prefixed with &#8220;0x&#8221; to indicate that they are in the hexadecimal format. For example, 0x5AB represents the hexadecimal number 5AB.<\/li>\n\n\n\n<li>In the hexadecimal to decimal conversion, it is important to know the powers of 16.<br>Here are the first six powers of 16 starting from 0.<br>16<sup>0<\/sup> = 1<br>16<sup>1<\/sup> = 16<br>16<sup>2<\/sup> = 256<br>16<sup>3<\/sup> = 4,096<br>16<sup>4<\/sup> = 65,536<br>16<sup>5<\/sup> = 1,048,576<\/li>\n\n\n\n<li>Hex color code, also known as hexadecimal color code, is a representation of colors using a combination of six hexadecimal digits. The format of a hex color code is #RRGGBB, where RR represents the intensity of red, GG represents the intensity of green, and BB represents the intensity of blue. For example, #FF0000 represents pure red.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about hexadecimal to decimal conversion. Understanding this conversion allows us to work with hexadecimal numbers more efficiently. Let&#8217;s reinforce our knowledge with practice examples and MCQs for better comprehension. Happy converting!<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-solved-examples-on-hexadecimal-to-decimal-conversion\">Solved Examples on Hexadecimal to Decimal Conversion<\/h2>\n\n\n\n<p><strong>1. Convert (4B6)<sub>16<\/sub> into a decimal system.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>In the Hexadecimal system,<\/p>\n\n\n\n<p>4 = 4, B = 11, and 6 = 6<\/p>\n\n\n\n<p>$(4B6)_{16} = (4 \\times 16^{2}) + (11 \\times 16^{1}) + (6 \\times 16^{0})$<\/p>\n\n\n\n<p>$(4B6)_{16} = (4 \\times 256) + (11 \\times 16) + (6 \\times 1)$<\/p>\n\n\n\n<p>$(4B6)_{16} = 1024 + 176 + 6$<\/p>\n\n\n\n<p>$(4B6)_{16} = (1206)_{10}$<\/p>\n\n\n\n<p><strong>2. What is the value of <\/strong>$(5D)_{16}$<strong> in the decimal system?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>5 = 5 and D = 13<\/p>\n\n\n\n<p>$(5D)_{16} = (5 \\times 16^{1}) + (13 \\times 16^{0})$<\/p>\n\n\n\n<p>$(5D)_{16} =80 + 13$<\/p>\n\n\n\n<p>$(5D)_{16} = (93)_{10}$<\/p>\n\n\n\n<p><strong>3. Convert <\/strong>$(FA9)_{16}$<strong> into a decimal system.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>F = 15, A = 10 and 9 = 9<\/p>\n\n\n\n<p>$(FA9)_{16} = (15\\times 16^{2}) + (10 \\times 16^{1}) + (9 \\times 16^{0})$<\/p>\n\n\n\n<p>$(FA9)_{16} = 15 \\times 256 + 10 \\times 16 + 9$<\/p>\n\n\n\n<p>$(FA9)_{16} = 3840 + 160 + 9$<\/p>\n\n\n\n<p>$(FA9)_{16} = (4009)_{10}$<\/p>\n\n\n\n<p><strong>4. What is the value of <\/strong>$1B8E_{16}$<strong> in the decimal system?&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>1 = 1, B = 11 , 8 = 8 and E = 14<\/p>\n\n\n\n<p>$(1B8E)_{16} = (1\\times 16^{3}) + (11\\times 16^{2}) + (8 \\times 16^{1}) + (14 \\times 16^{0})$<\/p>\n\n\n\n<p>$(1B8E)_{16} = (1 \\times 4096) + (11 \\times 256) + (8 \\times 16) + 14$<\/p>\n\n\n\n<p>$(1B8E)_{16} = 4096 + 2816 + 128 + 14$<\/p>\n\n\n\n<p>$(1B8E)_{16} = (7054)_{10}$<\/p>\n\n\n\n<p><strong>5. Convert <\/strong>$5CD81_{6}$<strong> in the decimal system.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>5 = 5, C = 12, D = 13, and 8 = 8<\/p>\n\n\n\n<p>$(5CD8)_{16} = (5 \\times 16^{3}) + (12\\times 16^{2}) + (13 \\times 16^{1}) + (8 \\times 16^{0})$<\/p>\n\n\n\n<p>$(5CD8)_{16} = (5 \\times 4096) + (12 \\times 256) + (13 \\times 16) + 8$<\/p>\n\n\n\n<p>$(5CD8)_{16} = 20,480 + 3,072 + 208 + 8$<\/p>\n\n\n\n<p>$(5CD8)_{16} =(23,768)_{10}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-practice-problems-on-hexadecimal-to-decimal-conversion\">Practice Problems on Hexadecimal to Decimal Conversion<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Hexadecimal to Decimal Conversion - Steps, Chart, Facts, Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">The hexadecimal number $16_{16}$ represents the decimal number ____ . <\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">10<\/div><div class=\"spq_answer_block\" data-value=\"1\">16<\/div><div class=\"spq_answer_block\" data-value=\"2\">22<\/div><div class=\"spq_answer_block\" data-value=\"3\">17<\/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: 22<br\/>$16_{16} = 1 \\times 16^{1} + 6 \\times 16^{0}$<br>\r\n$16_{16} = 16 + 61$<br>\r\n$16_{16} = 22_{10}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">On converting $(6AB)_{16}$ in the decimal system, we get ___. <\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$(1147)_{10}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$(1307)_{10}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$(1350)_{10}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$(1707)_{10}$<\/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: $(1707)_{10}$<br\/>$(6AB)_{16} = (6 \\times 16^{2} + 10 \\times 16^{1} + 11 \\times 16^{0})$<br>\r\n$(6AB)_{16} = 6 \\times 256 + 10 \\times 16 + 11$<br>\r\n$(6AB)_{16} =(1707)_{10}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">On converting $(CD6)_{16}$ in the decimal system, we get ___.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$(3286)_{10}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$(2666)_{10}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$(2576)_{10}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$(3567)_{10}$<\/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: $(3286)_{10}$<br\/>$(CD6)_{16} = (12 \\times 16^{2} + 13 \\times 16^{1} + 6 \\times16^{0})$<br>\r\n$(CD6)_{16} = 12 \\times 256 + 13 \\times 16 + 6$<br>\r\n$(CD6)_{16} = 3072 + 208 + 6$ <br>\r\n$(CD6)_{16} =(3286)_{10}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Convert $(187F)_{16}$ in the decimal system.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$(5701)_{10}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$(6271)_{10}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$(6891)_{10}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$(5801)_{10}$<\/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: $(6271)_{10}$<br\/>$(187F)_{16} = (1 \\times 16^{3} + 8 \\times 16^{2} + 7 \\times 16^{1} + 15 \\times 16^{0})$<br>\r\n$(187F)_{16} =4096 + 8 \\times 256 + 7 \\times 16 + 15$<br>\r\n$(187F)_{16} = 4096 + 2048 + 112 + 15$<br>\r\n$(187F)_{16} = (6271)_{10}$<\/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        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     \"@type\": \"Comment\",\n                      \"text\": \"$$16_{16} = 1 \\\\times 16^{1} + 6 \\\\times 16^{0}$$<br>\r\n$$16_{16} = 16 + 61$$<br>\r\n$$16_{16} = 22_{10}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$16_{16} = 1 \\\\times 16^{1} + 6 \\\\times 16^{0}$$<br>\r\n$$16_{16} = 16 + 61$$<br>\r\n$$16_{16} = 22_{10}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"16\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$16_{16} = 1 \\\\times 16^{1} + 6 \\\\times 16^{0}$$<br>\r\n$$16_{16} = 16 + 61$$<br>\r\n$$16_{16} = 22_{10}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"17\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$16_{16} = 1 \\\\times 16^{1} + 6 \\\\times 16^{0}$$<br>\r\n$$16_{16} = 16 + 61$$<br>\r\n$$16_{16} = 22_{10}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"22\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$16_{16} = 1 \\\\times 16^{1} + 6 \\\\times 16^{0}$$<br>\r\n$$16_{16} = 16 + 61$$<br>\r\n$$16_{16} = 22_{10}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$16_{16} = 1 \\\\times 16^{1} + 6 \\\\times 16^{0}$$<br>\r\n$$16_{16} = 16 + 61$$<br>\r\n$$16_{16} = 22_{10}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"On converting $$(6AB)_{16}$$ in the decimal system, we get ___. \",\n                    \"text\": \"On converting $$(6AB)_{16}$$ in the decimal system, we get ___. \",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$(6AB)_{16} = (6 \\\\times 16^{2} + 10 \\\\times 16^{1} + 11 \\\\times 16^{0})$$<br>\r\n$$(6AB)_{16} = 6 \\\\times 256 + 10 \\\\times 16 + 11$$<br>\r\n$$(6AB)_{16} =(1707)_{10}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(1147)_{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$(6AB)_{16} = (6 \\\\times 16^{2} + 10 \\\\times 16^{1} + 11 \\\\times 16^{0})$$<br>\r\n$$(6AB)_{16} = 6 \\\\times 256 + 10 \\\\times 16 + 11$$<br>\r\n$$(6AB)_{16} =(1707)_{10}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(1307)_{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$(6AB)_{16} = (6 \\\\times 16^{2} + 10 \\\\times 16^{1} + 11 \\\\times 16^{0})$$<br>\r\n$$(6AB)_{16} = 6 \\\\times 256 + 10 \\\\times 16 + 11$$<br>\r\n$$(6AB)_{16} =(1707)_{10}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(1350)_{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$(6AB)_{16} = (6 \\\\times 16^{2} + 10 \\\\times 16^{1} + 11 \\\\times 16^{0})$$<br>\r\n$$(6AB)_{16} = 6 \\\\times 256 + 10 \\\\times 16 + 11$$<br>\r\n$$(6AB)_{16} =(1707)_{10}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$(1707)_{10}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$(6AB)_{16} = (6 \\\\times 16^{2} + 10 \\\\times 16^{1} + 11 \\\\times 16^{0})$$<br>\r\n$$(6AB)_{16} = 6 \\\\times 256 + 10 \\\\times 16 + 11$$<br>\r\n$$(6AB)_{16} =(1707)_{10}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$(6AB)_{16} = (6 \\\\times 16^{2} + 10 \\\\times 16^{1} + 11 \\\\times 16^{0})$$<br>\r\n$$(6AB)_{16} = 6 \\\\times 256 + 10 \\\\times 16 + 11$$<br>\r\n$$(6AB)_{16} =(1707)_{10}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"On converting $$(CD6)_{16}$$ in the decimal system, we get ___.\",\n                    \"text\": \"On converting $$(CD6)_{16}$$ in the decimal system, we get ___.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$(CD6)_{16} = (12 \\\\times 16^{2} + 13 \\\\times 16^{1} + 6 \\\\times16^{0})$$<br>\r\n$$(CD6)_{16} = 12 \\\\times 256 + 13 \\\\times 16 + 6$$<br>\r\n$$(CD6)_{16} = 3072 + 208 + 6$$ <br>\r\n$$(CD6)_{16} =(3286)_{10}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(2666)_{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$(CD6)_{16} = (12 \\\\times 16^{2} + 13 \\\\times 16^{1} + 6 \\\\times16^{0})$$<br>\r\n$$(CD6)_{16} = 12 \\\\times 256 + 13 \\\\times 16 + 6$$<br>\r\n$$(CD6)_{16} = 3072 + 208 + 6$$ <br>\r\n$$(CD6)_{16} =(3286)_{10}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(2576)_{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$(CD6)_{16} = (12 \\\\times 16^{2} + 13 \\\\times 16^{1} + 6 \\\\times16^{0})$$<br>\r\n$$(CD6)_{16} = 12 \\\\times 256 + 13 \\\\times 16 + 6$$<br>\r\n$$(CD6)_{16} = 3072 + 208 + 6$$ <br>\r\n$$(CD6)_{16} =(3286)_{10}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(3567)_{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$(CD6)_{16} = (12 \\\\times 16^{2} + 13 \\\\times 16^{1} + 6 \\\\times16^{0})$$<br>\r\n$$(CD6)_{16} = 12 \\\\times 256 + 13 \\\\times 16 + 6$$<br>\r\n$$(CD6)_{16} = 3072 + 208 + 6$$ <br>\r\n$$(CD6)_{16} =(3286)_{10}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$(3286)_{10}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$(CD6)_{16} = (12 \\\\times 16^{2} + 13 \\\\times 16^{1} + 6 \\\\times16^{0})$$<br>\r\n$$(CD6)_{16} = 12 \\\\times 256 + 13 \\\\times 16 + 6$$<br>\r\n$$(CD6)_{16} = 3072 + 208 + 6$$ <br>\r\n$$(CD6)_{16} =(3286)_{10}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$(CD6)_{16} = (12 \\\\times 16^{2} + 13 \\\\times 16^{1} + 6 \\\\times16^{0})$$<br>\r\n$$(CD6)_{16} = 12 \\\\times 256 + 13 \\\\times 16 + 6$$<br>\r\n$$(CD6)_{16} = 3072 + 208 + 6$$ <br>\r\n$$(CD6)_{16} =(3286)_{10}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Convert $$(187F)_{16}$$ in the decimal system.\",\n                    \"text\": \"Convert $$(187F)_{16}$$ in the decimal system.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$(187F)_{16} = (1 \\\\times 16^{3} + 8 \\\\times 16^{2} + 7 \\\\times 16^{1} + 15 \\\\times 16^{0})$$<br>\r\n$$(187F)_{16} =4096 + 8 \\\\times 256 + 7 \\\\times 16 + 15$$<br>\r\n$$(187F)_{16} = 4096 + 2048 + 112 + 15$$<br>\r\n$$(187F)_{16} = (6271)_{10}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(5701)_{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$(187F)_{16} = (1 \\\\times 16^{3} + 8 \\\\times 16^{2} + 7 \\\\times 16^{1} + 15 \\\\times 16^{0})$$<br>\r\n$$(187F)_{16} =4096 + 8 \\\\times 256 + 7 \\\\times 16 + 15$$<br>\r\n$$(187F)_{16} = 4096 + 2048 + 112 + 15$$<br>\r\n$$(187F)_{16} = (6271)_{10}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(6891)_{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$(187F)_{16} = (1 \\\\times 16^{3} + 8 \\\\times 16^{2} + 7 \\\\times 16^{1} + 15 \\\\times 16^{0})$$<br>\r\n$$(187F)_{16} =4096 + 8 \\\\times 256 + 7 \\\\times 16 + 15$$<br>\r\n$$(187F)_{16} = 4096 + 2048 + 112 + 15$$<br>\r\n$$(187F)_{16} = (6271)_{10}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(5801)_{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$(187F)_{16} = (1 \\\\times 16^{3} + 8 \\\\times 16^{2} + 7 \\\\times 16^{1} + 15 \\\\times 16^{0})$$<br>\r\n$$(187F)_{16} =4096 + 8 \\\\times 256 + 7 \\\\times 16 + 15$$<br>\r\n$$(187F)_{16} = 4096 + 2048 + 112 + 15$$<br>\r\n$$(187F)_{16} = (6271)_{10}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$(6271)_{10}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$(187F)_{16} = (1 \\\\times 16^{3} + 8 \\\\times 16^{2} + 7 \\\\times 16^{1} + 15 \\\\times 16^{0})$$<br>\r\n$$(187F)_{16} =4096 + 8 \\\\times 256 + 7 \\\\times 16 + 15$$<br>\r\n$$(187F)_{16} = 4096 + 2048 + 112 + 15$$<br>\r\n$$(187F)_{16} = (6271)_{10}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$(187F)_{16} = (1 \\\\times 16^{3} + 8 \\\\times 16^{2} + 7 \\\\times 16^{1} + 15 \\\\times 16^{0})$$<br>\r\n$$(187F)_{16} =4096 + 8 \\\\times 256 + 7 \\\\times 16 + 15$$<br>\r\n$$(187F)_{16} = 4096 + 2048 + 112 + 15$$<br>\r\n$$(187F)_{16} = (6271)_{10}$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-frequently-asked-questions-on-hexadecimal-to-decimal-conversion\">Frequently Asked Questions on Hexadecimal to Decimal Conversion<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-6a4592d9-6daa-4e59-bc08-67b35e467ab5\" 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-0-6a4592d9-6daa-4e59-bc08-67b35e467ab5\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6a4592d9-6daa-4e59-bc08-67b35e467ab5\"><strong>What is the hexadecimal to decimal 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-0-6a4592d9-6daa-4e59-bc08-67b35e467ab5\">\n\n<p>There\u2019s no specific formula for the conversion. To convert a hexadecimal number into decimal, multiply each digit with the corresponding power of 16 (starting from the rightmost digit multiplied by 16<sup>0<\/sup>). Finally add up the products.<\/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-1-6a4592d9-6daa-4e59-bc08-67b35e467ab5\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6a4592d9-6daa-4e59-bc08-67b35e467ab5\"><strong>What is the difference between a hexadecimal system and an octal 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-1-6a4592d9-6daa-4e59-bc08-67b35e467ab5\">\n\n<p>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-2-6a4592d9-6daa-4e59-bc08-67b35e467ab5\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6a4592d9-6daa-4e59-bc08-67b35e467ab5\"><strong>How do you convert from decimal to hexadecimal 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-2-6a4592d9-6daa-4e59-bc08-67b35e467ab5\">\n\n<p>Divide the decimal number by 16 repeatedly till you get the quotient value equal to zero. At every step, note down the quotient and remainder. To find the equivalent hexadecimal number, write the remainders in the reverse order (bottom to top).<\/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-3-6a4592d9-6daa-4e59-bc08-67b35e467ab5\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6a4592d9-6daa-4e59-bc08-67b35e467ab5\"><strong>What is the hexadecimal number 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-3-6a4592d9-6daa-4e59-bc08-67b35e467ab5\">\n\n<p>Hexadecimal notation FFFF equals 65535 in decimal value<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Hexadecimal to Decimal Conversion? The hexadecimal to decimal conversion is used to convert numbers from the base-16 number system to base-10 number system.&nbsp; What Is the Hexadecimal Number System? The base of a hexadecimal number system is 16. It uses the 16 symbols given by 0, 1, 2, 3, 4, 5, 6, &#8230; <a title=\"Hexadecimal to Decimal Conversion &#8211; Steps, Chart, Facts, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/hexadecimal-to-decimal\" aria-label=\"More on Hexadecimal to Decimal Conversion &#8211; Steps, Chart, Facts, Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":34404,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-34389","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-all"],"featured_image_src":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/hexadecimal-to-decimal-conversion.png","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\/34389","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=34389"}],"version-history":[{"count":12,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34389\/revisions"}],"predecessor-version":[{"id":41742,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34389\/revisions\/41742"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media\/34404"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=34389"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=34389"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=34389"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}