{"id":156212,"date":"2022-03-26T01:30:23","date_gmt":"2022-03-25T20:00:23","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/decimal-to-binary-conversion-method-solved-examples-quiz-faqs\/"},"modified":"2022-12-22T21:37:37","modified_gmt":"2022-12-22T16:07:37","slug":"decimal-to-binary-conversion-method-solved-examples-quiz-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/decimal-to-binary\/","title":{"rendered":"Decimal to Binary &#8211; Conversion Method, Solved Examples, Quiz &#038; FAQs"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/decimal-to-binary\/#Why_Convert_from_Decimal_to_Binary\" title=\"Why Convert from Decimal to Binary?\">Why Convert from Decimal to Binary?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/decimal-to-binary\/#Decimal_to_Binary_Conversion_Example\" title=\"Decimal to Binary Conversion Example\">Decimal to Binary Conversion Example<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/decimal-to-binary\/#How_to_Convert_a_Decimal_Number_System_to_a_Binary_Number_System\" title=\"How to Convert a Decimal Number System to a Binary Number System?\">How to Convert a Decimal Number System to a Binary Number System?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/decimal-to-binary\/#Let_us_Convert_the_Decimal_Number_244_into_a_Binary_Number\" title=\"Let us Convert the Decimal Number 244 into a Binary Number.\">Let us Convert the Decimal Number 244 into a Binary Number.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/decimal-to-binary\/#Decimal_to_Binary_Conversion_Solved_Example\" title=\"Decimal to Binary Conversion Solved Example\">Decimal to Binary Conversion Solved Example<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/decimal-to-binary\/#Decimal_to_Binary_Problems\" title=\"Decimal to Binary Problems\">Decimal to Binary Problems<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/decimal-to-binary\/#Importance_of_Decimal_to_Binary_Conversion_Method\" title=\"Importance of Decimal to Binary Conversion Method\">Importance of Decimal to Binary Conversion Method<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Why_Convert_from_Decimal_to_Binary\"><\/span>Why Convert from Decimal to Binary?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>When converting from decimal to <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/decimal-to-binary\/\">binary<\/a>, the goal is to convert the number from base 10 to base 2. This can be done by dividing the number by 2 and noting the remainder. This process can be repeated until the number is 0.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-156211 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/decimal-to-binary-conversion-method-solved-examples-quiz-faqs.jpg\" alt=\"Decimal to Binary - Conversion Method, Solved Examples, Quiz &amp; FAQs\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/decimal-to-binary-conversion-method-solved-examples-quiz-faqs.jpg?v=1648238419 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/decimal-to-binary-conversion-method-solved-examples-quiz-faqs-300x212.jpg?v=1648238419 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Decimal_to_Binary_Conversion_Example\"><\/span>Decimal to Binary Conversion Example<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In <a href=\"https:\/\/en.wikipedia.org\/wiki\/Radix\">binary<\/a>, every number is represented by a combination of 0s and 1s. The number 12 can be represented as:<\/p>\n<p>1,000 in decimal is:<\/p>\n<p>In binary, that number would be:<\/p>\n<ul>\n<li>Converting from binary to decimal can be done by using a calculator, or by hand. To do it by hand, you would divide the number by 2 until you get a number that is not a whole number. For example, the number 1010 (10 in decimal) would be:<\/li>\n<li>Converting from decimal to binary can also be done by hand, but it is a bit more difficult. You would have to start by writing the number out as a series of powers of 2. For example, the number 15 in decimal would be:<\/li>\n<li>Then, you would divide each number by 2, and write down the remainders. For example, the number 15 would be:<\/li>\n<li>From this, you can see that the number 15 can be represented as:<\/li>\n<li>Similarly, the number 12 can be represented as:<\/li>\n<li>And the number 9 can be represented as:<\/li>\n<li>So, in binary, the number 9 would be:<\/li>\n<li>And the number 12 would be:<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"How_to_Convert_a_Decimal_Number_System_to_a_Binary_Number_System\"><\/span>How to Convert a Decimal Number System to a Binary Number System?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>To convert a decimal number system to a binary number system, divide the decimal number by 2. Keep dividing the decimal number by 2 until you reach 0. The binary number system is the result of the division. For example, to convert the decimal number 12 to a binary number system, divide 12 by 2. Keep dividing 12 by 2 until you reach 0. The binary number system is the result of the division. The binary number system is 1110.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Let_us_Convert_the_Decimal_Number_244_into_a_Binary_Number\"><\/span>Let us Convert the Decimal Number 244 into a Binary Number.<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>244 in binary form is:<\/p>\n<ul>\n<li>1110000100<\/li>\n<\/ul>\n<p>We can also write it as:<\/p>\n<ul>\n<li>11100000<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Decimal_to_Binary_Conversion_Solved_Example\"><\/span>Decimal to Binary Conversion Solved Example<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Convert the decimal number 15 to binary:<\/p>\n<ul>\n<li>15 \u00f7 2 = 7<\/li>\n<li>7 \u00f7 2 = 3<\/li>\n<li>3 \u00f7 2 = 1<\/li>\n<\/ul>\n<p>The binary number for 15 is 1111.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Decimal_to_Binary_Problems\"><\/span>Decimal to Binary Problems<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Convert the following decimal numbers to binary.<\/p>\n<p>1) 5<\/p>\n<p>101<\/p>\n<p>2) 15<\/p>\n<p>1111<\/p>\n<p>3) 45<\/p>\n<p>101101<\/p>\n<p>4) 95<\/p>\n<p>110001001<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Importance_of_Decimal_to_Binary_Conversion_Method\"><\/span>Importance of Decimal to Binary Conversion Method<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The decimal to binary conversion method is important because it allows us to convert numbers from one base to another. This is important because it allows us to communicate with computers, which use binary numbers.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Why Convert from Decimal to Binary? When converting from decimal to binary, the goal is to convert the number from [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Decimal to Binary - Conversion Method","_yoast_wpseo_title":"%%title%% %%page%%","_yoast_wpseo_metadesc":"When converting from decimal to binary, the goal is to convert the number from base 10 to base 2 only on Infinitylearn.com.","custom_permalink":"maths\/decimal-to-binary\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Decimal to Binary - Conversion Method, Solved Examples, Quiz &amp; FAQs<\/title>\n<meta name=\"description\" content=\"When converting from decimal to binary, the goal is to convert the number from base 10 to base 2 only on Infinitylearn.com.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/decimal-to-binary\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Decimal to Binary - 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