{"id":957,"date":"2020-09-23T03:34:53","date_gmt":"2020-09-23T03:34:53","guid":{"rendered":"http:\/\/learnlearn.uk\/alevelcs\/?page_id=957"},"modified":"2021-03-26T06:57:07","modified_gmt":"2021-03-26T06:57:07","slug":"floating-point-numbers","status":"publish","type":"page","link":"https:\/\/learnlearn.uk\/alevelcs\/floating-point-numbers\/","title":{"rendered":"Floating Point Numbers"},"content":{"rendered":"<div class=\"responsive-tabs\">\n<h2 class=\"tabtitle\">Introduction<\/h2>\n<div class=\"tabcontent\">\n\n<div class=\"nv-iframe-embed\">\n<div class=\"container-lazyload preview-lazyload container-youtube js-lazyload--not-loaded\"><a href=\"https:\/\/www.youtube.com\/watch?v=PZRI1IfStY0\" class=\"lazy-load-youtube preview-lazyload preview-youtube\" data-video-title=\"Floating Point Numbers - Computerphile\" title=\"Play video &quot;Floating Point Numbers - Computerphile&quot;\">https:\/\/www.youtube.com\/watch?v=PZRI1IfStY0<\/a><noscript>Video can&#8217;t be loaded because JavaScript is disabled: <a href=\"https:\/\/www.youtube.com\/watch?v=PZRI1IfStY0\" title=\"Floating Point Numbers - Computerphile\">Floating Point Numbers &#8211; Computerphile (https:\/\/www.youtube.com\/watch?v=PZRI1IfStY0)<\/a><\/noscript><\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n\n<\/div><h2 class=\"tabtitle\">CIE Floating Points<\/h2>\n<div class=\"tabcontent\">\n\n<h3>CIE Floating Point Numbers Representation<\/h3>\n<p>In the paper 3 exam, CIE floating numbers take on a slightly different, simplified version of floating point numbers that <strong>differs significantly<\/strong> from the international standard.<\/p>\n<p>The CIE format is usually as follows:<\/p>\n<ul>\n<li>8 Bits Mantissa:8 Bits Exponent<\/li>\n<li>Each 8 bits are in Two&#8217;s Complement form\n<ul>\n<li>1 at the start of the mantissa indicates a negative number<\/li>\n<li>1 at the start of the exponent indicates a negative exponent<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>Example<\/p>\n<p>10100101 11010110<\/p>\n<p>Two&#8217;s compliment<\/p>\n<p>01011011 00101010<\/p>\n<p>Denary<\/p>\n<p>0.1011011<\/p>\n\n<\/div><h2 class=\"tabtitle\">Normalising<\/h2>\n<div class=\"tabcontent\">\n\n<h3>Normalising Floating Point Numbers<\/h3>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n\n<\/div><h2 class=\"tabtitle\">Over\/Underflow<\/h2>\n<div class=\"tabcontent\">\n\n<h3>Binary Overflow<\/h3>\n<p>&nbsp;<\/p>\n<h3>Binary Underflow<\/h3>\n<p>&nbsp;<\/p>\n\n<\/div><h2 class=\"tabtitle\">IEEE754<\/h2>\n<div class=\"tabcontent\">\n\n<h3>IEEE754 Floating Point Number International Standard<\/h3>\n<p><span style=\"color: #0000ff;\">Note: This is not on the specification and you don&#8217;t need to know it for the exam but for general reference only.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n\n<\/div><h2 class=\"tabtitle\">Resources<\/h2>\n<div class=\"tabcontent\">\n\n<p><strong>Teacher Resources<\/strong><\/p>\n<p><a href=\"https:\/\/docs.google.com\/presentation\/d\/1AUOQHaB2iQug6jTF7J33sgYk8gWROaa1u3nUX_snvo4\/edit?usp=sharing\">CIE A Level Floating Point Representation Presentation<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>Past Paper Questions<\/p>\n<ul>\n<li>Nov 2015 31 Qn 1<\/li>\n<li>Nov 16 31 Qn 1<\/li>\n<li>June 18 31 Qn1<\/li>\n<li>Nov 18 31 qn2<\/li>\n<li>June 19 31 Qn1<\/li>\n<li>Nov 19 31 Qn1<\/li>\n<\/ul>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>https:\/\/www.youtube.com\/watch?v=PZRI1IfStY0Video can&#8217;t be loaded because JavaScript is disabled: Floating Point Numbers &#8211; Computerphile (https:\/\/www.youtube.com\/watch?v=PZRI1IfStY0) &nbsp; &nbsp; CIE Floating Point Numbers Representation In the paper 3 exam, CIE floating numbers take on a slightly different, simplified version of floating point numbers that differs significantly from the international standard. The CIE format is usually as follows: 8&hellip;&nbsp;<a href=\"https:\/\/learnlearn.uk\/alevelcs\/floating-point-numbers\/\" class=\"\" rel=\"bookmark\">Read More &raquo;<span class=\"screen-reader-text\">Floating Point Numbers<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"","neve_meta_content_width":70,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Floating Point Numbers - A Level Computer Science<\/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:\/\/learnlearn.uk\/alevelcs\/floating-point-numbers\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Floating Point Numbers - A Level Computer Science\" \/>\n<meta property=\"og:description\" content=\"https:\/\/www.youtube.com\/watch?v=PZRI1IfStY0Video can&#8217;t be loaded because JavaScript is disabled: Floating Point Numbers &#8211; Computerphile (https:\/\/www.youtube.com\/watch?v=PZRI1IfStY0) &nbsp; &nbsp; CIE Floating Point Numbers Representation In the paper 3 exam, CIE floating numbers take on a slightly different, simplified version of floating point numbers that differs significantly from the international standard. 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