How to convert Binary to Octal
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.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.
Formula
Follow these steps to convert a binary number into octal form:
- Start from the right side of the binary number and divide it up into groups of 3 digits. Add extra zeros to the front of the first number if it is not three digits.
- Convert each group of 3 binary digits to its equivalent octal value from the conversion table below.
- Concatenate the results together. This is the solution.
| Binary | Octal |
|---|---|
| 000 | 0 |
| 001 | 1 |
| 010 | 2 |
| 011 | 3 |
| 100 | 4 |
| 101 | 5 |
| 110 | 6 |
| 111 | 7 |
| Binary | (0)10 | 110 | 111 | 010 | 001 |
|---|---|---|---|---|---|
| Octal | 2 | 6 | 7 | 2 | 1 |