{"id":156542,"date":"2022-03-26T01:52:22","date_gmt":"2022-03-25T20:22:22","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/binary-multiplication\/"},"modified":"2024-12-13T15:13:11","modified_gmt":"2024-12-13T09:43:11","slug":"binary-multiplication","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/binary-multiplication\/","title":{"rendered":"Binary Multiplication"},"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\/binary-multiplication\/#What_is_Binary_Multiplication\" title=\"What is Binary Multiplication?\">What is Binary Multiplication?<\/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\/binary-multiplication\/#Decimal-To-Binary_Conversion\" title=\"Decimal-To-Binary Conversion\">Decimal-To-Binary Conversion<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/binary-multiplication\/#Steps_to_Convert_an_Integer_to_Binary\" title=\"Steps to Convert an Integer to Binary\">Steps to Convert an Integer to Binary<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/binary-multiplication\/#Binary-To-Decimal_Conversion\" title=\"Binary-To-Decimal Conversion\">Binary-To-Decimal Conversion<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/binary-multiplication\/#How_to_Do_Binary_Multiplication\" title=\"How to Do Binary Multiplication\">How to Do Binary Multiplication<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/binary-multiplication\/#Steps_to_Multiply_Binary_Numbers\" title=\"Steps to Multiply Binary Numbers\">Steps to Multiply Binary Numbers<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_is_Binary_Multiplication\"><\/span>What is Binary Multiplication?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/infinitylearn.com\/surge\/maths\/binary-multiplication\/\">Binary multiplication<\/a> is a mathematical operation that is used to multiply two binary numbers together. The result of binary multiplication is a binary number that is the product of the two original numbers.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-156541 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/binary-multiplication.jpg\" alt=\"Binary Multiplication\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/binary-multiplication.jpg?v=1648239738 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/binary-multiplication-300x212.jpg?v=1648239738 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Decimal-To-Binary_Conversion\"><\/span>Decimal-To-Binary Conversion<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To convert a decimal number to binary, divide the number by 2. If the result is a whole number, write the number down. If the result is a fraction, write down the numerator (top number) and place a slash (\/) followed by the denominator (bottom number). Continue this process until you reach 0.<\/p>\n<p>For example, to convert the decimal number 153 to binary, divide 153 by 2. The result is 76.5, which can written as 76\/2. Write the number down and then divide it by 2 again. The result is 38.25, which can written as 38\/2. Write the number down and then divide it by 2 again. The result is 19.125, which can written as 19\/2. Write the number down and then divide it by 2 again. The result is 9.5625, which can be written as 9\/2. Write the number down and then divide it by 2 again. The result is 4.78125, which can be written as 4\/2. Write the number down and then divide it by 2 again. The result is 2.390625, which can be written as 2\/2. The number 153 is now written as 11001011 in binary.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Steps_to_Convert_an_Integer_to_Binary\"><\/span>Steps to Convert an Integer to Binary<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To convert an integer to binary, divide the number by 2 and take the remainder. Convert the remainder to binary and append it to the result of the previous division. Repeat the process until the number is 0.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Binary-To-Decimal_Conversion\"><\/span>Binary-To-Decimal Conversion<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The number 11011 in binary is:<\/p>\n<p>11011 = (1 x 2^3) + (1 x 2^2) + (0 x 2^1) + (1 x 2^0)<\/p>\n<p>= (8) + (4) + (0) + (1)<\/p>\n<p>= (13)<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Do_Binary_Multiplication\"><\/span>How to Do Binary Multiplication<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To multiply two binary numbers, multiply the first number by the second number&#8217;s least significant bit, and add the products together.<\/p>\n<p>For example, to multiply 11 by 101:<\/p>\n<p>1 \u00d7 1 + 1 \u00d7 0 + 1 \u00d7 1 = 3<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Steps_to_Multiply_Binary_Numbers\"><\/span>Steps to Multiply Binary Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To multiply two binary numbers, follow these steps:<\/p>\n<ul>\n<li>Step 1: Write the numbers down in a column. The number on the left is the first number, and the number on the right is the second number.<\/li>\n<li>Step 2: Multiply each digit in the first number by the digit in the same position in the second number. Write the products down in the column.<\/li>\n<li>Step 3: Add the products together. The final number is the answer.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>What is Binary Multiplication? Binary multiplication is a mathematical operation that is used to multiply two binary numbers together. The [&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":"Binary Multiplication","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn Binary Multiplication topic of Maths in details explained by subject experts on infinitylearn.com. 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