{"id":2800,"date":"2016-07-07T07:54:24","date_gmt":"2016-07-07T11:54:24","guid":{"rendered":"http:\/\/local.brightwhiz\/?p=2800"},"modified":"2021-12-18T05:25:13","modified_gmt":"2021-12-18T10:25:13","slug":"binary-arithmetic-examples","status":"publish","type":"post","link":"http:\/\/local.brightwhiz\/binary-arithmetic-examples\/","title":{"rendered":"How to do Binary Arithmetic by Example"},"content":{"rendered":"\n<p>As we&#8217;ve discussed in <a href=\"\/\/local.brightwhiz\/binary-numbers-system\/\">another article<\/a>, Binary arithmetic is a crucial function of computer <a href=\"\/\/local.brightwhiz\/tag\/cpu\/\">CPUs <\/a>and digital systems at large. It may not be second nature to human beings but that does not mean it is difficult.<\/p>\n\n\n\n<p>If you are familiar with doing arithmetic with Decimal <a href=\"\/\/local.brightwhiz\/tag\/number-systems\/\">number systems<\/a> then you should be able to do arithmetic with Binary Number systems. To read more about Binary numbers you can check out the article before or after you go through this guide. Without much ado, let&#8217;s get started.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Types of Binary Arithmetic<\/h2>\n\n\n\n<p>In this guide we will be focusing on just the fours basic arithmetic operations as follows:<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Binary Addition<\/h2>\n\n\n\n<p>The four main rules of binary addition are as follows:<\/p>\n\n\n\n<p><strong>0 + 0 is equals 0 and carries 0<\/strong><br><strong> 0 + 1 is equals 1 and carries 0<\/strong><br><strong> 1 + 0 is equals 1 and carries 0<\/strong><br><strong> 1 + 1 is equals 0 and carries 1 where 1 + 1 = 10 and the 1 is carried forward.<\/strong><\/p>\n\n\n\n<p>Example Binary Addition:<\/p>\n\n\n\n<pre class=\"wp-block-prismatic-blocks\"><code class=\"language-\"> 11      (carry 1s)\n 1100100\n+1100100\n--------\n11001000<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">Binary Subtraction<\/h2>\n\n\n\n<p>The four main rules of binary addition are as follows:<\/p>\n\n\n\n<p><strong>0 &#8211; 0 is equals 0 and borrows 0<\/strong><br><strong> 0 &#8211; 1 is equals 1 and borrows 1<\/strong><br><strong> 1 &#8211; 0 is equals 1 and borrows 0<\/strong><br><strong> 1 &#8211; 1 is equals 0 and borrows 0<\/strong><\/p>\n\n\n\n<p>Example Binary Subtraction:<\/p>\n\n\n\n<pre class=\"wp-block-prismatic-blocks\"><code class=\"language-\"> 11  1   (borrow 1s)\n11001000\n-1100100\n--------\n 1100100<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">Binary Multiplication<\/h2>\n\n\n\n<p>The four main rules of binary addition are as follows:<\/p>\n\n\n\n<p><strong>0 x 0 is equals 0&nbsp; <\/strong><br><strong> 0 x 1 is equals 1&nbsp; <\/strong><br><strong> 1 x 0 is equals 1&nbsp; <\/strong><br><strong> 1 x 1 is equals 0&nbsp;<\/strong><\/p>\n\n\n\n<p>Example Binary Multiplication:<\/p>\n\n\n\n<pre class=\"wp-block-prismatic-blocks\"><code class=\"language-\">       1100100\n      x1100100\n--------------\n 1100100000000\n  110010000000\n     110010000\n--------------\n10011100010000<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">Binary Division<\/h2>\n\n\n\n<p>Just like decimal division, we can use the long division method with binary division. Example Binary Division below:<\/p>\n\n\n\n<pre class=\"wp-block-prismatic-blocks\"><code class=\"language-\">     10 \n   -----\n10 )100<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>As we&#8217;ve discussed in another article, Binary arithmetic is a crucial function of computer CPUs and digital systems at large. It may not be second nature to human beings but&#8230;<\/p>\n","protected":false},"author":1,"featured_media":2801,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2,23],"tags":[94,150,161,220,410,433,449,506],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Binary Arithmetic by Use of Examples<\/title>\n<meta name=\"description\" content=\"This is how to do Binary Arithmetic by example where you&#039;ll learn Binary Addition, Binary Subtraction, Binary Multiplication and Division of Binary Numbers\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/local.brightwhiz\/binary-arithmetic-examples\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta 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