Visual Basic 2005 for Programmers: Deitel Developer Series, Second Edition

B.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. Fig. B.7 highlights the fact that lengthy binary numbers can be expressed concisely in number systems with higher bases than the binary number system.

Figure B.7. Decimal, binary, octal and hexadecimal equivalents.

Decimal number	Binary resentation	Octal resentation	Hexadecimal resentation
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	17	F
16	10000	20	10

A particularly important relationship that both the octal number system and the hexadecimal number system have to the binary system is that the bases of octal and ...