{"id":217706,"date":"2025-05-22T11:08:16","date_gmt":"2025-05-22T11:08:16","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=217706"},"modified":"2025-05-22T11:08:18","modified_gmt":"2025-05-22T11:08:18","slug":"a-mips-i-format-immediate-value-as-an-unsigned-constant-can-range-from-0-to","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/22\/a-mips-i-format-immediate-value-as-an-unsigned-constant-can-range-from-0-to\/","title":{"rendered":"A MIPS \u201cI-Format\u201d Immediate Value As An Unsigned Constant Can Range From 0 To"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Question: A MIPS \u201cI-Format\u201d Immediate Value As An Unsigned Constant Can Range From 0 To:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Correct Answer:<\/strong><br><strong>65,535<\/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>Explanation:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">In MIPS (Microprocessor without Interlocked Pipeline Stages) architecture, the <strong>I-format<\/strong> (Immediate format) is one of the instruction formats used for operations involving constants (immediate values) and addresses. Examples include instructions such as <code>addi<\/code>, <code>andi<\/code>, <code>ori<\/code>, <code>lw<\/code>, <code>sw<\/code>, and <code>beq<\/code>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Structure of I-Format:<\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">An I-format instruction in MIPS is 32 bits long and structured as follows:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>6 bits<\/strong>: Opcode (specifies the operation, e.g., <code>addi<\/code>, <code>lw<\/code>, <code>beq<\/code>)<\/li>\n\n\n\n<li><strong>5 bits<\/strong>: Source register (rs)<\/li>\n\n\n\n<li><strong>5 bits<\/strong>: Destination register (rt)<\/li>\n\n\n\n<li><strong>16 bits<\/strong>: Immediate value (constant or offset)<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Understanding the 16-bit Immediate Field:<\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">The <strong>immediate field<\/strong> in I-format is <strong>16 bits long<\/strong>. The way this field is interpreted depends on the type of instruction and whether the value is treated as <strong>signed<\/strong> or <strong>unsigned<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For instructions like <code>addi<\/code> (add immediate), the 16-bit immediate is <strong>sign-extended<\/strong> to 32 bits, meaning it is treated as a <strong>signed integer<\/strong> in the range:<\/li>\n\n\n\n<li>\u221232,768 to +32,767<\/li>\n\n\n\n<li>For instructions like <code>andi<\/code>, <code>ori<\/code>, and <code>xori<\/code>, the immediate is treated as <strong>zero-extended<\/strong> \u2014 in other words, as an <strong>unsigned integer<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Unsigned Immediate Range:<\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Since the immediate field is 16 bits and is treated as <strong>unsigned<\/strong> in logical instructions (like <code>andi<\/code> and <code>ori<\/code>):<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The minimum unsigned value is <strong>0<\/strong><\/li>\n\n\n\n<li>The maximum unsigned value is <strong>2\u00b9\u2076 \u2212 1 = 65,535<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">This is because:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$<br>\\text{Range of unsigned 16-bit value} = 0 \\text{ to } (2^{16} &#8211; 1) = 0 \\text{ to } 65535<br>$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, in MIPS I-format instructions where the immediate is treated as <strong>an unsigned constant<\/strong>, the range is <strong>0 to 65,535<\/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>Conclusion:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">When the 16-bit immediate in a MIPS I-format instruction is interpreted as an <strong>unsigned constant<\/strong>, its range is from <strong>0 to 65,535<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/05\/image-47.png\" alt=\"\" class=\"wp-image-217707\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Question: A MIPS \u201cI-Format\u201d Immediate Value As An Unsigned Constant Can Range From 0 To: The Correct Answer and Explanation is: Correct Answer:65,535 Explanation: In MIPS (Microprocessor without Interlocked Pipeline Stages) architecture, the I-format (Immediate format) is one of the instruction formats used for operations involving constants (immediate values) and addresses. Examples include instructions such [&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-217706","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/217706","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=217706"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/217706\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=217706"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=217706"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=217706"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}