{"id":6159,"date":"2023-01-01T23:30:13","date_gmt":"2023-01-01T23:30:13","guid":{"rendered":"https:\/\/computerscienced.co.uk\/site\/?page_id=6159"},"modified":"2023-01-01T23:30:13","modified_gmt":"2023-01-01T23:30:13","slug":"how-to-hexadecimal-to-binary-conversion","status":"publish","type":"page","link":"https:\/\/computerscienced.co.uk\/site\/hexadecimal-conversion\/how-to-hexadecimal-to-binary-conversion\/","title":{"rendered":"How to – Hexadecimal to Binary Conversion"},"content":{"rendered":"\n

Converting hexadecimal into binary 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>Binary Number<\/strong><\/td>Hexadecimal Number<\/strong><\/td><\/tr>
0<\/td>0000<\/td>0<\/td><\/tr>
1<\/td>0001<\/td>1<\/td><\/tr>
2<\/td>0010<\/td>2<\/td><\/tr>
3<\/td>0011<\/td>3<\/td><\/tr>
4<\/td>0100<\/td>4<\/td><\/tr>
5<\/td>0101<\/td>5<\/td><\/tr>
6<\/td>0110<\/td>6<\/td><\/tr>
7<\/td>0111<\/td>7<\/td><\/tr>
8<\/td>1000<\/td>8<\/td><\/tr>
9<\/td>1001<\/td>9<\/td><\/tr>
10<\/td>1010<\/td>A<\/td><\/tr>
11<\/td>1011<\/td>B<\/td><\/tr>
12<\/td>1100<\/td>C<\/td><\/tr>
13<\/td>1101<\/td>D<\/td><\/tr>
14<\/td>1110<\/td>E<\/td><\/tr>
15<\/td>1111<\/td>F<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

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

Using the table – 7 in hex is 0111 in binary.<\/strong><\/p>\n\n\n\n

Using the table – A in hex is 1010 in binary<\/strong>.<\/p>\n\n\n\n

\n\n\n\n

2 digit Hexadecimal to Binary Conversion<\/h1>\n\n\n\n

In GCSE computer science you will be expected to convert 2 digit hexadecimal into binary.\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 hexadecimal number A2 into Binary<\/strong><\/p>\n\n\n\n

Split the hexadecimal number into a 2 column table.<\/p>\n\n\n\n

A<\/strong><\/td>2<\/strong><\/td><\/tr>
<\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Using the table above and our knowledge of binary, we can now convert the individual hexadecimal digits into binary.\u00a0<\/p>\n\n\n\n

A<\/strong><\/td>2<\/strong><\/td><\/tr>
A = 1010<\/td>2 = 0010<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

We now simply combine these 2 nibbles of binary into a byte:<\/p>\n\n\n\n

A2 = 1010 0010 in binary<\/strong><\/p>\n\n\n\n

\n\n\n\n

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

Convert hexadecimal number 28 into binary<\/strong><\/p>\n\n\n\n

2<\/strong><\/td>8<\/strong><\/td><\/tr>
0010<\/td>1000<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

28 = 0010 1000 in binary<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Converting hexadecimal into binary is very simple. All we need is to remember that hexadecimal is a base 16 number.\u00a0…<\/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-6159","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\/6159","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=6159"}],"version-history":[{"count":1,"href":"https:\/\/computerscienced.co.uk\/site\/wp-json\/wp\/v2\/pages\/6159\/revisions"}],"predecessor-version":[{"id":6160,"href":"https:\/\/computerscienced.co.uk\/site\/wp-json\/wp\/v2\/pages\/6159\/revisions\/6160"}],"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=6159"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}