D.2 Abbreviating Binary Numbers as Octal and Hexadecimal Numbers
The main use for octal and hexadecimal numbers in computing is for abbreviating lengthy binary representations. Figure D.7 highlights the fact that lengthy binary numbers can be expressed concisely in number systems with higher bases than the binary number system.
Fig. D.7 Decimal, binary, octal and hexadecimal equivalents.
| Decimal number | Binary representation | Octal representation | Hexadecimal representation |
|---|---|---|---|
0 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
2 |
10 |
2 |
2 |
3 |
11 |
3 |
3 |
4 |
100 |
4 |
4 |
5 |
101 |
5 |
5 |
6 |
110 |
6 |
6 |
7 |
111 |
7 |
7 |
8 |
1000 |
10 |
8 |
9 |
1001 |
11 |
9 |
10 |
1010 |
12 |
A |
11 |
1011 |
13 |
B |
12 |
1100 |
14 |
C |
13 |
1101 |
15 |
D |
14 |
1110 |
16 |
E |
15 |
1111 |
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