Octal Number System Definition
‘OCTAL’ is derived from the Latin word ‘OCT’ which means Eight. The number system with base 8 and symbols ranging between 0-7 is known as the Octal Number System. Each digit of an octal number represents a power of 8. It is widely used in computer programming and digital systems. Octal number system can be converted to other number systems and visa versa.
For example, an octal number (10)8 is equivalent to 8 in the decimal number system, 001000 in the binary number system and 8 in the hexadecimal number system.
Octal Numbers System Table
The table added below, shows the Octal Number and Decimal Number. 3 bits of Binary Number System is equivalent to one octal numbers.
|
Octal Numbers |
Binary Equivalent |
|---|---|
|
0 |
000 |
|
1 |
001 |
|
2 |
010 |
|
3 |
011 |
|
4 |
100 |
|
5 |
101 |
|
6 |
110 |
|
7 |
111 |
Now, we will learn about the conversion of octal number system to other number systems one by one. So let’s get started.
Octal Number System
Octal Number System is a number system with base 8 as it uses eight symbols (or digits) namely 0, 1, 2, 3, 4, 5, 6, and 7. For example, 228, 138, 178, etc. are octal numbers. This number system is mainly used in computer programming as it is a compact way of representing binary numbers with each octal number corresponding to three binary digits.
In this article, we will discuss Octal Numbers System, Octal Number System Conversions, Octal Number System Examples, and Others in detail.
Table of Content
- Octal Number System Definition
- Octal to Decimal Numbers
- Octal to Hexadecimal Number
- Octal to Binary Number
- Octal Multiplication Table