To find the hexadecimal (base 16) expansion of the decimal number 12345<\/strong>, we convert it by repeatedly dividing by 16 and recording the remainders.<\/p>\n\n\n\n Now, we take the remainders from last to first: 3 0 3 9<\/strong><\/p>\n\n\n\n Therefore, the hexadecimal expansion of 12345<\/strong> is 0x3039<\/strong><\/p>\n\n\n\n (12345)\u2081\u2080 = (3039)\u2081\u2086<\/strong><\/p>\n\n\n\n The hexadecimal number system uses base 16. It has sixteen digits: 0 to 9 and then A to F. The letters A to F represent decimal values 10 to 15. For example, A equals 10, B equals 11, and so on up to F which equals 15. This system is widely used in computing because it is more compact than binary and maps easily to it.<\/p>\n\n\n\n To convert a decimal number to hexadecimal, we divide the number repeatedly by 16 and keep track of the remainders. Each remainder corresponds to a hexadecimal digit. The process stops when the quotient reaches zero. The hexadecimal number is read from the last remainder to the first.<\/p>\n\n\n\n In this case, dividing 12345 repeatedly by 16 gave us remainders 9, 3, 0, and 3 in that order. Reversing this list gives us the hexadecimal digits 3, 0, 3, 9. Hence, 12345 in decimal is equal to 3039 in hexadecimal.<\/p>\n\n\n\n Hexadecimal numbers are often used in programming and digital electronics because they are more human-friendly than binary. For example, memory addresses, color codes in HTML and CSS, and machine code instructions often use hexadecimal notation.<\/p>\n\n\n\n Find the hexadecimal expansion of (12345)10 The Correct Answer and Explanation is: To find the hexadecimal (base 16) expansion of the decimal number 12345, we convert it by repeatedly dividing by 16 and recording the remainders. Step-by-step conversion: Now, we take the remainders from last to first: 3 0 3 9 Therefore, the hexadecimal expansion […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-25598","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25598","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=25598"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25598\/revisions"}],"predecessor-version":[{"id":25600,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25598\/revisions\/25600"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=25598"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=25598"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=25598"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step-by-step conversion:<\/h3>\n\n\n\n
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Final Answer:<\/h3>\n\n\n\n
\n\n\n\nExplanation:<\/h3>\n\n\n\n
![\"\"](\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-65.jpeg\")
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