{"id":240130,"date":"2025-07-03T07:30:47","date_gmt":"2025-07-03T07:30:47","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=240130"},"modified":"2025-07-03T07:30:49","modified_gmt":"2025-07-03T07:30:49","slug":"convert-the-following-from-binary-to-hex-then-from-hex-to-decimal","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/03\/convert-the-following-from-binary-to-hex-then-from-hex-to-decimal\/","title":{"rendered":"Convert the following from binary to hex, then from hex to decimal."},"content":{"rendered":"\n
Convert the following from binary to hex, then from hex to decimal. Show your work. Hex: 0x0f 0x100 0x0d 0xffa Decimal: Binary:<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
Let’s go through each conversion step by step, starting with the binary to hex and then hex to decimal. We’ll break it down clearly so you can follow along:<\/p>\n\n\n\n
1. Binary to Hex Conversion:<\/h3>\n\n\n\n
Binary 1: 0x0f<\/strong><\/h4>\n\n\n\n
This is already in hexadecimal format, so no conversion from binary is needed for this part. Hexadecimal “0x0f” is just a representation in base-16. Now, to understand the decimal equivalent:<\/p>\n\n\n\n
Here\u2019s the summary of our decimal results after converting each hexadecimal number:<\/p>\n\n\n\n
\n
0x0f<\/strong> = 15<\/li>\n\n\n\n
0x100<\/strong> = 256<\/li>\n\n\n\n
0x0d<\/strong> = 13<\/li>\n\n\n\n
0xffa<\/strong> = 4090<\/li>\n<\/ul>\n\n\n\n
Explanation:<\/h3>\n\n\n\n
The hexadecimal system is base-16, so each position represents a power of 16 (just as in decimal, each place represents a power of 10). In hexadecimal, the digits are 0-9 and A-F, where A = 10, B = 11, C = 12, D = 13, E = 14, and F = 15.<\/p>\n\n\n\n
For example, to convert 0x0f<\/strong> to decimal:<\/p>\n\n\n\n
\n
The “0x” prefix indicates it’s in hexadecimal. The “f” represents the number 15 in decimal, so 0x0f = 15<\/strong> in decimal.<\/li>\n<\/ul>\n\n\n\n
To convert 0x100<\/strong> to decimal:<\/p>\n\n\n\n
\n
The first digit (1) is in the 16^2 place, so we multiply 1 by 256 (16^2). The other digits are 0, so 0x100 = 256<\/strong>.<\/li>\n<\/ul>\n\n\n\n
For 0x0d<\/strong>:<\/p>\n\n\n\n
\n
The “d” in hex represents 13, so 0x0d = 13<\/strong>.<\/li>\n<\/ul>\n\n\n\n
And for 0xffa<\/strong>:<\/p>\n\n\n\n
\n
The “f” represents 15, so 15 \u00d7 256 (16^2), 15 \u00d7 16 (16^1), and 10 for “a” (16^0), which gives 0xffa = 4090<\/strong>.<\/li>\n<\/ul>\n\n\n\n
This process involves understanding the positional value of each hex digit and converting each into its corresponding decimal value.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"
Convert the following from binary to hex, then from hex to decimal. Show your work. Hex: 0x0f 0x100 0x0d 0xffa Decimal: Binary: The Correct Answer and Explanation is: Let’s go through each conversion step by step, starting with the binary to hex and then hex to decimal. We’ll break it down clearly so you can […]<\/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-240130","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/240130","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=240130"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/240130\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=240130"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=240130"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=240130"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-102.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"