Q. Consider the unsigned 8-bit fixed point binary number representation below,<\/p>\n\n\n\n
b7 b6 b5 b4 b3 .\u00a0 <\/strong>b2 b1 b0<\/p>\n\n\n\n Where\u00a0the\u00a0position\u00a0of the binary point is between b3 and b2. Assume b7 is the most significant bit. Some of the decimal numbers listed below cannot <\/strong>be represented exactly <\/strong>in the above representation:<\/p>\n\n\n\n (i)\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a031.500\u00a0\u00a0\u00a0\u00a0 \u00a0(ii)\u00a0\u00a0 \u00a00.875\u00a0\u00a0\u00a0\u00a0 (iii) 12.100\u00a0\u00a0\u00a0\u00a0\u00a0 (iv) 3.001<\/p>\n\n\n\n A. None of (i), (ii), (iii), (iv) can be exactly represented<\/p>\n\n\n\n B. Only (ii) cannot be exactly represented<\/p>\n\n\n\n C. Only (iii) and (iv) cannot be exactly represented<\/p>\n\n\n\n D. Only (i) and (ii) cannot be exactly represented<\/p>\n\n\n\n Ans: Only (iii) and (iv) cannot be exactly represented<\/p>\n","protected":false},"excerpt":{"rendered":" Q. Consider the unsigned 8-bit fixed point binary number representation below, b7 b6 b5 b4 b3 .\u00a0 b2 b1 b0 Where\u00a0the\u00a0position\u00a0of the binary point is between b3 and b2. Assume b7 is the most significant bit. Some of the decimal numbers listed below cannot be represented exactly in the above representation: (i)\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a031.500\u00a0\u00a0\u00a0\u00a0 \u00a0(ii)\u00a0\u00a0 \u00a00.875\u00a0\u00a0\u00a0\u00a0 […]<\/p>\n","protected":false},"author":419,"featured_media":160310,"comment_status":"open","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-4)","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-4)","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-4)","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":[5141],"tags":[5140],"class_list":["post-160309","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/160309","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=160309"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/160309\/revisions"}],"predecessor-version":[{"id":160311,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/160309\/revisions\/160311"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/160310"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=160309"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=160309"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=160309"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}