{"id":31939,"date":"2023-01-25T17:02:59","date_gmt":"2023-01-25T11:32:59","guid":{"rendered":"https:\/\/jassweb.com\/solved\/solved-addition-of-doubles-in-c-application-producing-strange-results-closed\/"},"modified":"2023-01-25T17:02:59","modified_gmt":"2023-01-25T11:32:59","slug":"solved-addition-of-doubles-in-c-application-producing-strange-results-closed","status":"publish","type":"post","link":"https:\/\/jassweb.com\/solved\/solved-addition-of-doubles-in-c-application-producing-strange-results-closed\/","title":{"rendered":"[Solved] Addition of Doubles in C# application producing strange results [closed]"},"content":{"rendered":"<p> [ad_1]<br \/>\n<\/p>\n<div id=\"answer-18747952\" class=\"answer js-answer accepted-answer js-accepted-answer\" data-answerid=\"18747952\" data-parentid=\"18747791\" data-score=\"4\" data-position-on-page=\"1\" data-highest-scored=\"1\" data-question-has-accepted-highest-score=\"1\" itemprop=\"acceptedAnswer\" itemscope itemtype=\"https:\/\/schema.org\/Answer\">\n<div class=\"post-layout\">\n<div class=\"votecell post-layout--left\"><\/div>\n<div class=\"answercell post-layout--right\">\n<div class=\"s-prose js-post-body\" itemprop=\"text\">\n<p>Ultimately, this is because some base-10 numbers (like 0.9) cannot be represented in base 2 in a finite number of digits, just like the fraction 1\/3 cannot be represented in base 10 in a finite number of digits (you get 0.333&#8230;).<\/p>\n<p>0.9 converted to base 2 is 0.1110011001100&#8230;, and this binary representation gets truncated such that the result is as number <em>close to<\/em> 0.9 (base 10) but is <em>slightly<\/em> smaller.<\/p>\n<p>Note that you will <em>not<\/em> see this behavior with the number 0.9, as the float will have a coefficient of 9 and a mantissa of -1.  But you <em>will<\/em> see it with 31.9, as it will have a coefficient of 3.19 (in base 2 = <code>11.00&gt;11000010100011110101&lt;<\/code>, repeating section between the <code>&gt;&lt;<\/code> marks) and a mantissa of +1.<\/p>\n<\/p><\/div>\n<div class=\"mt24\"><\/div>\n<\/div>\n<p>            <span class=\"d-none\" itemprop=\"commentCount\">3<\/span> <\/p><\/div>\n<\/div>\n<p>[ad_2]<\/p>\n<p>solved Addition of Doubles in C# application producing strange results [closed] <\/p>\n","protected":false},"excerpt":{"rendered":"<p>[ad_1] Ultimately, this is because some base-10 numbers (like 0.9) cannot be represented in base 2 in a finite number of digits, just like the fraction 1\/3 cannot be represented in base 10 in a finite number of digits (you get 0.333&#8230;). 0.9 converted to base 2 is 0.1110011001100&#8230;, and this binary representation gets truncated &#8230; <a title=\"[Solved] Addition of Doubles in C# application producing strange results [closed]\" class=\"read-more\" href=\"https:\/\/jassweb.com\/solved\/solved-addition-of-doubles-in-c-application-producing-strange-results-closed\/\" aria-label=\"More on [Solved] Addition of Doubles in C# application producing strange results [closed]\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[320],"tags":[324],"class_list":["post-31939","post","type-post","status-publish","format-standard","hentry","category-solved","tag-c"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>[Solved] Addition of Doubles in C# application producing strange results [closed] - JassWeb<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/jassweb.com\/solved\/solved-addition-of-doubles-in-c-application-producing-strange-results-closed\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"[Solved] Addition of Doubles in C# application producing strange results [closed] - JassWeb\" \/>\n<meta property=\"og:description\" content=\"[ad_1] Ultimately, this is because some base-10 numbers (like 0.9) cannot be represented in base 2 in a finite number of digits, just like the fraction 1\/3 cannot be represented in base 10 in a finite number of digits (you get 0.333&#8230;). 0.9 converted to base 2 is 0.1110011001100&#8230;, and this binary representation gets truncated ... 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