What is Octal Number system?
- The Octal number is a number system with base 8 and digits range is from 0 to 7.
- Octal number system was used in past and now a days it is not used in modern digital systems.
- Each Octal Number digit is basically 2 3=8 and represent a 3-bit Binary Number.
- Binary Numbers and the Octal equivalents are discussed in the table below;
| Decimal |
Binary |
Octal |
| 0 |
000 |
0 |
| 1 |
001 |
1 |
| 2 |
010 |
2 |
| 3 |
011 |
3 |
| 4 |
100 |
4 |
| 5 |
101 |
5 |
| 6 |
110 |
6 |
| 7 |
111 |
7 |
Counting in Octal Number System
- The maximum value that can be represented by a one single octal digit is 7 because it starts from 0 and octal means 0 to 8.
- Decimal 8 can be represented by a combination of 108.
- The subscript 8 in 108 indicates that the number is Octal.
- Some of the Octal Numbers for Decimal numbers 8 to 30 are discussed in table below;
| Decimal |
Octal |
|
Decimal |
Octal |
Decimal |
Octal |
| 8 |
10 |
|
16 |
|
20 |
24 |
30 |
| 9 |
11 |
|
17 |
|
21 |
25 |
31 |
| 10 |
12 |
|
18 |
|
22 |
26 |
32 |
| 11 |
13 |
|
19 |
|
23 |
27 |
33 |
| 12 |
14 |
|
20 |
|
24 |
28 |
34 |
| 13 |
15 |
|
21 |
|
25 |
29 |
35 |
| 14 |
16 |
|
22 |
|
26 |
30 |
36 |
| 15 |
17 |
|
23 |
|
27 |
31 |
37 |
| |
|
Table: |
Octal Numbers upper than 0 to 7 |
|
Hopefully you are now able to understand the octal number systems
