Use the below conversion tool to convert a **binary number to octal number**:

Binary Number | |

Octal Number |

Also Try:

- Binary to Decimal converter
- Binary to Hexadecimal converter
- Binary to Gray code converter
- Binary to text converter

## Binary number

Binary numbering system uses only two symbols 0 and 1. Each digits of a binary number is referred to as *bits*. Binary system is also known as *base -2 system*. Each digit is represented by the increasing *power of 2* from the LSB (Least Significant Bit). Binary system is the heart of digital electronics and is used for information flow. In digital electronics, 0 and 1 are used to denote logic states, high and low. Arithmetic operations are also possible in binary system.

## Octal Number

Octal numbers use digits from 0-7 only. It is known as *base-8 number*. The place value of each digits of an octal number varies as the whole number *powers of 8* starting from the right (Least Significant Digit). The first single digit number in octal system is 0 and the last is 7. Similarly, the first two digit octal number is 10 and the last is 77 and so on. Octal number system was widely used in early computers.

### Read More: How to convert a binary number to an octal number

## Binary to octal conversion table

Binary Number | Octal Number | Decimal Number |
---|---|---|

000 | 0 | 0 |

001 | 1 | 1 |

010 | 2 | 2 |

011 | 3 | 3 |

100 | 4 | 4 |

101 | 5 | 5 |

110 | 6 | 6 |

111 | 7 | 7 |

001000 | 10 | 8 |

001001 | 11 | 9 |

001010 | 12 | 10 |

## Example-1: Convert 111110_{2} to Octal number

Split the binary number to a bits of three starting from the right.

111 110

From the above conversion table:

Binary number
| 111 | 110 |

Octal number | 7 | 6 |

Hence, 111110_{2} in its binary form is equivalent to 76

## Example-2: Convert 1101110_{2} to Octal number

Split the binary number to a bits of three starting from the right.

001 101 110

From the above conversion table:

Binary number
| 001 | 101 | 110 |

Octal number | 1 | 5 | 6 |

Hence, 1101110_{2} in its binary form is equivalent to 156.

Also Try:

- Decimal to Binary converter
- Decimal to Octal converter
- Decimal to Hexadecimal converter
- Decimal to Gray code converter
- Octal to Decimal converter
- Octal to Hexadecimal converter
- Octal to Gray code converter
- Hexadecimal to Binary converter
- Hexadecimal to Decimal converter
- Hexadecimal to Octal converter
- Hexadecimal to Gray converter
- Gray Code to Binary converter
- Gray Code to Decimal converter
- Gray Code to Octal converter
- Gray Code to Hexadecimal converter
- Binary Converter
- Decimal Converter
- Octal Converter
- Hexadecimal Converter
- Text to binary converter
- Text to hex converter