{"id":269613,"date":"2025-07-24T17:21:48","date_gmt":"2025-07-24T17:21:48","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=269613"},"modified":"2025-07-24T17:21:50","modified_gmt":"2025-07-24T17:21:50","slug":"given-a-page-size-of-512-bytes","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/24\/given-a-page-size-of-512-bytes\/","title":{"rendered":"Given a page size of 512 bytes"},"content":{"rendered":"\n<p>Given a page size of 512 bytes, what is the page number and the offset for the virtual address 0x1234?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To determine the page number and offset for the virtual address 0x1234, given a page size of 512 bytes, follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert the address to binary<\/h3>\n\n\n\n<p>The virtual address 0x1234 in hexadecimal is equivalent to 0001 0010 0011 0100 in binary.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Understand the structure of the address<\/h3>\n\n\n\n<p>Since the page size is 512 bytes, we need to determine how many bits are required to represent the offset within a page.<\/p>\n\n\n\n<p>The page size of 512 bytes is equivalent to 292^9 bytes, meaning 9 bits are used for the offset within a page. The remaining bits in the address represent the page number.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Divide the address into the page number and the offset<\/h3>\n\n\n\n<p>Given that the page size is 512 bytes, the least significant 9 bits of the address represent the offset within the page. The remaining higher-order bits represent the page number.<\/p>\n\n\n\n<p>The binary address 0001 0010 0011 0100 is split as follows:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The rightmost 9 bits represent the offset.<\/li>\n\n\n\n<li>The leftmost bits represent the page number.<\/li>\n<\/ul>\n\n\n\n<p>So, the binary address 0001 0010 0011 0100 (0x1234) can be split into:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Offset:<\/strong> The rightmost 9 bits are 011 0100, which is 0x34 in hexadecimal (52 in decimal).<\/li>\n\n\n\n<li><strong>Page number:<\/strong> The remaining bits are 0001 0010, which is 0x12 in hexadecimal (18 in decimal).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Conclusion<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>page number<\/strong> is 0x12 (or 18 in decimal).<\/li>\n\n\n\n<li>The <strong>offset<\/strong> is 0x34 (or 52 in decimal).<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Given a page size of 512 bytes, what is the page number and the offset for the virtual address 0x1234? The correct answer and explanation is: To determine the page number and offset for the virtual address 0x1234, given a page size of 512 bytes, follow these steps: Step 1: Convert the address to binary [&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-269613","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/269613","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=269613"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/269613\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=269613"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=269613"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=269613"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}