{"id":249491,"date":"2025-07-09T13:01:04","date_gmt":"2025-07-09T13:01:04","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=249491"},"modified":"2025-07-09T13:01:14","modified_gmt":"2025-07-09T13:01:14","slug":"divide-in-binary-a-11101001-%c3%b7-110-b-110000001-%c3%b7-1110","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/09\/divide-in-binary-a-11101001-%c3%b7-110-b-110000001-%c3%b7-1110\/","title":{"rendered":"Divide in binary a. 11101001 \u00f7 110 b. 110000001 \u00f7 1110"},"content":{"rendered":"\n<p>Divide in binary a. 11101001 \u00f7 110 b. 110000001 \u00f7 1110<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">a. 11101001 \u00f7 110<\/h3>\n\n\n\n<p><strong>Step 1: Convert the binary numbers to decimal for easy understanding.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>11101001 (binary) = 1 \u00d7 2^7 + 1 \u00d7 2^6 + 1 \u00d7 2^5 + 0 \u00d7 2^4 + 1 \u00d7 2^3 + 0 \u00d7 2^2 + 0 \u00d7 2^1 + 1 \u00d7 2^0 = 233 (decimal)<\/li>\n\n\n\n<li>110 (binary) = 1 \u00d7 2^2 + 1 \u00d7 2^1 + 0 \u00d7 2^0 = 6 (decimal)<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 2: Perform the division in decimal.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>233 \u00f7 6 = 38 remainder 5<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 3: Convert the quotient and remainder back to binary.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>38 in decimal = 100110 (binary)<\/li>\n\n\n\n<li>5 in decimal = 101 (binary)<\/li>\n<\/ul>\n\n\n\n<p>Thus, 11101001 \u00f7 110 = <strong>100110 remainder 101<\/strong> (binary).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">b. 110000001 \u00f7 1110<\/h3>\n\n\n\n<p><strong>Step 1: Convert the binary numbers to decimal.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>110000001 (binary) = 1 \u00d7 2^8 + 1 \u00d7 2^7 + 0 \u00d7 2^6 + 0 \u00d7 2^5 + 0 \u00d7 2^4 + 0 \u00d7 2^3 + 0 \u00d7 2^2 + 0 \u00d7 2^1 + 1 \u00d7 2^0 = 385 (decimal)<\/li>\n\n\n\n<li>1110 (binary) = 1 \u00d7 2^3 + 1 \u00d7 2^2 + 1 \u00d7 2^1 + 0 \u00d7 2^0 = 14 (decimal)<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 2: Perform the division in decimal.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>385 \u00f7 14 = 27 remainder 5<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 3: Convert the quotient and remainder back to binary.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>27 in decimal = 11011 (binary)<\/li>\n\n\n\n<li>5 in decimal = 101 (binary)<\/li>\n<\/ul>\n\n\n\n<p>Thus, 110000001 \u00f7 1110 = <strong>11011 remainder 101<\/strong> (binary).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation of the Process:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Converting Binary to Decimal:<\/strong> We first convert the binary numbers to decimal so that we can perform simple division. This involves breaking down each binary number into its constituent powers of 2 and then summing them up.<\/li>\n\n\n\n<li><strong>Performing the Division in Decimal:<\/strong> After converting both the dividend and divisor to decimal, we divide the two numbers in the usual way to find the quotient and remainder.<\/li>\n\n\n\n<li><strong>Converting the Result Back to Binary:<\/strong> Finally, the quotient and remainder from the division are converted back to binary form for the final result.<\/li>\n<\/ol>\n\n\n\n<p>This method can be used for binary division by first simplifying the operation to a more familiar decimal form and then converting the result back to binary.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Divide in binary a. 11101001 \u00f7 110 b. 110000001 \u00f7 1110 The correct answer and explanation is: a. 11101001 \u00f7 110 Step 1: Convert the binary numbers to decimal for easy understanding. Step 2: Perform the division in decimal. Step 3: Convert the quotient and remainder back to binary. Thus, 11101001 \u00f7 110 = 100110 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-249491","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249491","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=249491"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249491\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=249491"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=249491"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=249491"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}