{"id":187121,"date":"2025-02-01T07:19:20","date_gmt":"2025-02-01T07:19:20","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=187121"},"modified":"2025-02-01T07:19:23","modified_gmt":"2025-02-01T07:19:23","slug":"how-many-1024-x-8-ram-chips-are-needed-to-provide-a-memory-capacity-of-16kb","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/01\/how-many-1024-x-8-ram-chips-are-needed-to-provide-a-memory-capacity-of-16kb\/","title":{"rendered":"How many 1024 x 8 RAM chips are needed to provide a memory capacity of 16KB"},"content":{"rendered":"\n<p>How many 1024 x 8 RAM chips are needed to provide a memory capacity of 16KB?<\/p>\n\n\n\n<p>a) How many lines of the address bus must be used to access 16KB bytes of memory?<\/p>\n\n\n\n<p>b) How many lines must be used to decode chip select? c) Specify the size of the decoders<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Given:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>RAM chip size<\/strong> = 1024 \u00d7 8 (1K \u00d7 8)<\/li>\n\n\n\n<li><strong>Required memory capacity<\/strong> = 16 KB<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 1: Calculate the Number of Required RAM Chips<\/strong><\/h4>\n\n\n\n<p>Each RAM chip has <strong>1K (1024) locations<\/strong>, and each location stores <strong>8 bits (1 byte)<\/strong>.<br>Thus, each RAM chip provides <strong>1 KB (1024 bytes)<\/strong> of storage.<\/p>\n\n\n\n<p>Since <strong>16 KB (16,384 bytes)<\/strong> is required:<br>[<br>\\frac{16,384 \\text{ bytes}}{1024 \\text{ bytes per chip}} = 16 \\text{ chips}<br>]<br>So, <strong>16 chips<\/strong> are needed.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 2: Address Bus Lines Required for 16 KB Memory<\/strong><\/h4>\n\n\n\n<p>Each memory address in a byte-addressable system corresponds to one unique location.<br>Since 16 KB = <strong>(2^{14}) addresses<\/strong>, we need <strong>14 address lines<\/strong> to uniquely access each byte.<\/p>\n\n\n\n<p>Thus, <strong>14 address lines<\/strong> are required.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 3: Chip Select (CS) Lines Required<\/strong><\/h4>\n\n\n\n<p>Each RAM chip has <strong>(2^{10}) = 1024 locations<\/strong>, requiring <strong>10 address lines<\/strong> to select an address within a chip.<\/p>\n\n\n\n<p>Since we have <strong>16 chips<\/strong>, the system must select one out of <strong>16<\/strong> chips.<br>This requires <strong>(2^4 = 16)<\/strong> combinations, meaning <strong>4 address lines<\/strong> are used for chip selection.<\/p>\n\n\n\n<p>Thus, <strong>4 lines are needed for chip select<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 4: Decoder Size for Chip Selection<\/strong><\/h4>\n\n\n\n<p>Since we need to select one out of <strong>16<\/strong> RAM chips, a <strong>4-to-16 decoder<\/strong> (4 input lines, 16 output lines) is required.<\/p>\n\n\n\n<p>Thus, the required decoder size is <strong>4 \u00d7 16<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Final Answers:<\/strong><\/h3>\n\n\n\n<p><strong>a)<\/strong> 14 address lines<br><strong>b)<\/strong> 4 chip select lines<br><strong>c)<\/strong> 4 \u00d7 16 decoder<\/p>\n","protected":false},"excerpt":{"rendered":"<p>How many 1024 x 8 RAM chips are needed to provide a memory capacity of 16KB? a) How many lines of the address bus must be used to access 16KB bytes of memory? b) How many lines must be used to decode chip select? c) Specify the size of the decoders The Correct Answer and [&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-187121","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/187121","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=187121"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/187121\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=187121"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=187121"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=187121"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}