{"id":6152,"date":"2023-01-01T21:09:28","date_gmt":"2023-01-01T21:09:28","guid":{"rendered":"https:\/\/computerscienced.co.uk\/site\/?page_id=6152"},"modified":"2023-01-01T21:09:28","modified_gmt":"2023-01-01T21:09:28","slug":"how-to-denary-to-hexadecimal-conversion","status":"publish","type":"page","link":"https:\/\/computerscienced.co.uk\/site\/hexadecimal-conversion\/how-to-denary-to-hexadecimal-conversion\/","title":{"rendered":"How to – Denary to Hexadecimal Conversion"},"content":{"rendered":"\n

Converting decimal (denary) into hexadecimal is very simple. All we need is to remember that hexadecimal is a base 16 number.\u00a0 This means that each number column can contain 16 characters.\u00a0 Hexadecimal goes from 0 to F:<\/p>\n\n\n\n

Decimal Number<\/strong><\/td>Hexadecimal Number<\/strong><\/td><\/tr>
0<\/td>0<\/td><\/tr>
1<\/td>1<\/td><\/tr>
2<\/td>2<\/td><\/tr>
3<\/td>3<\/td><\/tr>
4<\/td>4<\/td><\/tr>
5<\/td>5<\/td><\/tr>
6<\/td>6<\/td><\/tr>
7<\/td>7<\/td><\/tr>
8<\/td>8<\/td><\/tr>
9<\/td>9<\/td><\/tr>
10<\/td>A<\/td><\/tr>
11<\/td>B<\/td><\/tr>
12<\/td>C<\/td><\/tr>
13<\/td>D<\/td><\/tr>
14<\/td>E<\/td><\/tr>
15<\/td>F<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

EG<\/strong><\/p>\n\n\n\n

Using the table – 7 in decimal is 7 in hexadecimal.<\/strong><\/p>\n\n\n\n

Using the table – 10 in decimal is A in hexadecimal<\/strong>.<\/p>\n\n\n\n

\n\n\n\n

Denary to Hexadecimal Conversion to 2 figures<\/h1>\n\n\n\n

In GCSE computer science you will be expected to convert denary into 2 figure hexadecimal.\u00a0 Again we need to remember that hexadecimal is a base 16 number and each number column can go from 0-9 and A-F.\u00a0<\/p>\n\n\n\n

\n\n\n\n

Example 1<\/h2>\n\n\n\n

Convert decimal number 162 into hexadecimal<\/strong><\/p>\n\n\n\n

Draw out a 2 column table with 16 on the left and 1 on the right. We now take our original number and divide it by 16<\/p>\n\n\n\n

16<\/strong><\/td>1<\/strong><\/td><\/tr>
162 \/ 16
= 10 remainder 2<\/strong><\/td>		<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

The answer is 10 (16 x 10 = 160) and gives us a remainder of 2. The remainder of 2 is then carried across to the 1 column. The remainder is then divided by 1.<\/p>\n\n\n\n

16<\/strong><\/td>1<\/strong><\/td><\/tr>
162 \/ 16
= 10<\/strong><\/td>		2 \/ 1
= 2<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

We now need to check our columns to see if any number needs converting to a hexadecimal character. In the 16 column we have a 10. A 10 in hexadecimal is the letter A so we substitute the 10 for an A. <\/p>\n\n\n\n

16<\/strong><\/td>1<\/strong><\/td><\/tr>
162 \/ 16
= 10<\/strong><\/td>		2 \/ 1
= 2<\/strong><\/td><\/tr>
10 = A<\/strong><\/td>2 = 2<\/strong><\/td><\/tr>
= A<\/strong><\/td>= 2<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

The final step is to put the 2 columns together<\/p>\n\n\n\n

162 in denary = A2 in hexadecimal <\/strong><\/p>\n\n\n\n

\n\n\n\n

Example 2<\/h2>\n\n\n\n

Convert decimal number 40 into hexadecimal<\/strong><\/p>\n\n\n\n

16<\/strong><\/td>1<\/strong><\/td><\/tr>
40 \/ 16
= 2 remainder 8<\/strong><\/td>		8 \/ 1
= 8<\/strong><\/td><\/tr>
2 = 2<\/strong><\/td>8 = 8<\/strong><\/td><\/tr>
= 2<\/strong><\/td>= 8<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

40 in decimal = 28 in hexadecimal<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Converting decimal (denary) into hexadecimal is very simple. All we need is to remember that hexadecimal is a base 16…<\/p>\n","protected":false},"author":1,"featured_media":2739,"parent":956,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"disable_featured_image":true,"footnotes":""},"class_list":["post-6152","page","type-page","status-publish","has-post-thumbnail","hentry"],"blog_post_layout_featured_media_urls":{"thumbnail":["https:\/\/computerscienced.co.uk\/site\/wp-content\/uploads\/2021\/10\/undraw_Share_opinion_re_4qk7.svg",150,150,true],"full":["https:\/\/computerscienced.co.uk\/site\/wp-content\/uploads\/2021\/10\/undraw_Share_opinion_re_4qk7.svg",965,727,false]},"categories_names":null,"comments_number":"0","_links":{"self":[{"href":"https:\/\/computerscienced.co.uk\/site\/wp-json\/wp\/v2\/pages\/6152","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/computerscienced.co.uk\/site\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/computerscienced.co.uk\/site\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/computerscienced.co.uk\/site\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/computerscienced.co.uk\/site\/wp-json\/wp\/v2\/comments?post=6152"}],"version-history":[{"count":1,"href":"https:\/\/computerscienced.co.uk\/site\/wp-json\/wp\/v2\/pages\/6152\/revisions"}],"predecessor-version":[{"id":6153,"href":"https:\/\/computerscienced.co.uk\/site\/wp-json\/wp\/v2\/pages\/6152\/revisions\/6153"}],"up":[{"embeddable":true,"href":"https:\/\/computerscienced.co.uk\/site\/wp-json\/wp\/v2\/pages\/956"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/computerscienced.co.uk\/site\/wp-json\/wp\/v2\/media\/2739"}],"wp:attachment":[{"href":"https:\/\/computerscienced.co.uk\/site\/wp-json\/wp\/v2\/media?parent=6152"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}