{"id":182367,"date":"2025-01-13T17:50:24","date_gmt":"2025-01-13T17:50:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=182367"},"modified":"2025-01-13T17:50:26","modified_gmt":"2025-01-13T17:50:26","slug":"convert-the-given-decimal-hexadecimal","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/13\/convert-the-given-decimal-hexadecimal\/","title":{"rendered":"Convert the given decimal, hexadecimal"},"content":{"rendered":"\n<p>Convert the given decimal, hexadecimal, or binary number to the other formats at shown in the first example row.<\/p>\n\n\n\n<p>Decimal<\/p>\n\n\n\n<p>Hexadecimal<\/p>\n\n\n\n<p>Binary<\/p>\n\n\n\n<p>0d128<\/p>\n\n\n\n<p>0x80<\/p>\n\n\n\n<p>0b10000000<\/p>\n\n\n\n<p>0d38<\/p>\n\n\n\n<p>[1]<\/p>\n\n\n\n<p>[2]<\/p>\n\n\n\n<p>[3]<\/p>\n\n\n\n<p>0xAC<\/p>\n\n\n\n<p>[4]<\/p>\n\n\n\n<p>[5]<\/p>\n\n\n\n<p>[6]<\/p>\n\n\n\n<p>0b01010010<\/p>\n\n\n\n<p>0d200<\/p>\n\n\n\n<p>[7]<\/p>\n\n\n\n<p>[8]<\/p>\n\n\n\n<p>[9]<\/p>\n\n\n\n<p>[10] 0xB4 + 0x18 =<\/p>\n\n\n\n<p>[11]<\/p>\n\n\n\n<p>Fill in the table for the listed data types for the maximum and minimum potential value.<\/p>\n\n\n\n<p>Type<\/p>\n\n\n\n<p>Size in bytes<\/p>\n\n\n\n<p>Minimum value<\/p>\n\n\n\n<p>Maximum Value<\/p>\n\n\n\n<p>unsigned char<\/p>\n\n\n\n<p>1<\/p>\n\n\n\n<p>0<\/p>\n\n\n\n<p>[12]<\/p>\n\n\n\n<p>(signed) char<\/p>\n\n\n\n<p>1<\/p>\n\n\n\n<p>[13]<\/p>\n\n\n\n<p>[14]<\/p>\n\n\n\n<p>unsigned short (int)<\/p>\n\n\n\n<p>2<\/p>\n\n\n\n<p>0<\/p>\n\n\n\n<p>[15]<\/p>\n\n\n\n<p>(signed) short (int)<\/p>\n\n\n\n<p>2<\/p>\n\n\n\n<p>[16]<\/p>\n\n\n\n<p>[17]<\/p>\n\n\n\n<p>unsigned int\/long<\/p>\n\n\n\n<p>4<\/p>\n\n\n\n<p>0<\/p>\n\n\n\n<p>[18]<\/p>\n\n\n\n<p>(signed) int, (signed) long<\/p>\n\n\n\n<p>4<\/p>\n\n\n\n<p>[19]<\/p>\n\n\n\n<p>[20]<\/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\">Completed Table with Correct Answers:<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Conversion Table:<\/h4>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Decimal<\/th><th>Hexadecimal<\/th><th>Binary<\/th><\/tr><\/thead><tbody><tr><td>0d128<\/td><td>0x80<\/td><td>0b10000000<\/td><\/tr><tr><td>0d38<\/td><td>0x26<\/td><td>0b00100110<\/td><\/tr><tr><td><\/td><td>0xAC<\/td><td>0b10101100<\/td><\/tr><tr><td>0b01010010<\/td><td>0d82<\/td><td>0x52<\/td><\/tr><tr><td>0d200<\/td><td>0xC8<\/td><td>0b11001000<\/td><\/tr><tr><td>0xB4 + 0x18 =<\/td><td>0d204<\/td><td>0b11001100<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Data Type Ranges:<\/h4>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Type<\/th><th>Size in bytes<\/th><th>Minimum value<\/th><th>Maximum value<\/th><\/tr><\/thead><tbody><tr><td>unsigned char<\/td><td>1<\/td><td>0<\/td><td>255<\/td><\/tr><tr><td>(signed) char<\/td><td>1<\/td><td>-128<\/td><td>127<\/td><\/tr><tr><td>unsigned short (int)<\/td><td>2<\/td><td>0<\/td><td>65,535<\/td><\/tr><tr><td>(signed) short (int)<\/td><td>2<\/td><td>-32,768<\/td><td>32,767<\/td><\/tr><tr><td>unsigned int\/long<\/td><td>4<\/td><td>0<\/td><td>4,294,967,295<\/td><\/tr><tr><td>(signed) int, (signed) long<\/td><td>4<\/td><td>-2,147,483,648<\/td><td>2,147,483,647<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (300 Words):<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Conversion Table:<\/h4>\n\n\n\n<p>The table translates numbers between decimal (base 10), hexadecimal (base 16), and binary (base 2). Conversions follow specific rules:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Decimal to Hexadecimal:<\/strong> Divide the number by 16 and convert the remainder into hex digits (<code>0-9, A-F<\/code>).<\/li>\n\n\n\n<li><strong>Decimal to Binary:<\/strong> Repeatedly divide the number by 2, recording remainders.<\/li>\n\n\n\n<li><strong>Hexadecimal to Binary:<\/strong> Each hex digit represents four binary bits.<\/li>\n<\/ul>\n\n\n\n<p>Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For <code>0d128<\/code>, the binary equivalent is <code>10000000<\/code> (2\u2077 = 128), and the hexadecimal is <code>80<\/code>.<\/li>\n\n\n\n<li>Addition (<code>0xB4 + 0x18<\/code>): Convert each to decimal (<code>180 + 24 = 204<\/code>), then convert <code>204<\/code> back to hexadecimal (<code>CC<\/code>) and binary (<code>11001100<\/code>).<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">Data Type Ranges:<\/h4>\n\n\n\n<p>Each data type has a fixed size, influencing its value range:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Unsigned types:<\/strong> These only store positive values, with the range being <code>0<\/code> to <code>2\u207f - 1<\/code>, where <code>n<\/code> is the number of bits. For example, <code>unsigned char<\/code> uses 8 bits, so the maximum value is <code>255<\/code>.<\/li>\n\n\n\n<li><strong>Signed types:<\/strong> These store both positive and negative values, using one bit for the sign. The range is <code>-2\u207f\u207b\u00b9<\/code> to <code>2\u207f\u207b\u00b9 - 1<\/code>. For a <code>signed char<\/code>, the range is <code>-128 to 127<\/code>.<\/li>\n\n\n\n<li>Larger data types like <code>int<\/code> or <code>long<\/code> expand this range, as they use more bytes.<\/li>\n<\/ul>\n\n\n\n<p>Understanding these conversions and ranges is vital for programming, especially in low-level languages like C\/C++, where data type boundaries affect computations and memory use.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Convert the given decimal, hexadecimal, or binary number to the other formats at shown in the first example row. Decimal Hexadecimal Binary 0d128 0x80 0b10000000 0d38 [1] [2] [3] 0xAC [4] [5] [6] 0b01010010 0d200 [7] [8] [9] [10] 0xB4 + 0x18 = [11] Fill in the table for the listed data types for the [&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-182367","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182367","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=182367"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182367\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=182367"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=182367"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=182367"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}