How to convert Octal to Binary
The octal numeral system, or oct for short, is the base-8 number system, and uses the digits 0 to 7. Octal is sometimes used in computing instead of hexadecimal, perhaps most often in modern times in conjunction with file permissions under Unix systems. It has the advantage of not requiring any extra symbols as digits. It is also used for digital displays.A binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically "0" and "1". The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices.
Formula
Follow these steps to convert a octal number into binary form:
- Write down the octal number and represent each digit by its binary equivalent from the conversion table below.
- Concatenate the results together. Discard any leading zeros at the left of the binary number. This is the solution.
| Octal | Binary |
|---|---|
| 0 | 000 |
| 1 | 001 |
| 2 | 010 |
| 3 | 011 |
| 4 | 100 |
| 5 | 101 |
| 6 | 110 |
| 7 | 111 |
| Octal | 2 | 1 | 0 | 7 | 3 |
|---|---|---|---|---|---|
| Binary | 010 | 001 | 000 | 111 | 011 |