What is Octal Number system? DLD digital logic design
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 |
Table: Octal Equivalents of Binary and decimal Numbers
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 |
Thanks: Hopefully you are now able to understand the octal number systems