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Data Encoding and Addressing
Chapter 6
6-5
Figure 6.4
Hexadecimal
Numbers
00 0000 0110100111
11335
0 x 2
3
= 0
0 x 2
2
= 0
0 x 2
1
= 0
0 x 2
0
= 0
0 x 2
3
= 0
0 x 2
2
= 0
0 x 2
1
= 0
1 x 2
0
= 1
1 x 2
3
= 8
0 x 2
2
= 0
1 x 2
1
= 2
0 x 2
0
= 0
0 x 2
3
= 0
1 x 2
2
= 4
1 x 2
1
= 2
1 x 2
0
= 1
0
16
1
16
A
16
7
16
0 x 16
3
= 0
1 x 16
2
= 256
10 x 16
1
= 160
7 x 16
0
= 7
01A7
16
= 423
10
Octal
The octal number system is also a relatively easy way to represent binary
data. This system uses the eight digits 0 through 7.
Each group of three data bits represents one octal digit between 0 and 7.
This factor presents a slight conversion problem because bytes and words
usually contain an even number of bits. Thus, an 8-bit byte can have an
octal value between 0 and 377, while a 16-bit word can have an octal
value between 0 and 177,777.
Each digit of an octal number has a place value that is a multiple of 8. To
convert from octal to decimal, multiply each octal digit by its
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