# Binary to Octal Converter Convert your data

## How to convert binary to octal

Conversion steps:

- We split the binary number into group of three digits starting from right to left.
- If the number of digits is not multiple of three we add zeros in front to form three digits.
- We multiply each group with 421.
- We add the result for each group.
- The result will be by puting together all the results, reading from left to right.

## Binary to octal conversion table

Binary (Base 2) | Octal (Base 8) |
---|---|

0 | 0 |

1 | 1 |

10 | 2 |

11 | 3 |

100 | 4 |

101 | 5 |

110 | 6 |

111 | 7 |

1000 | 10 |

1001 | 11 |

1010 | 12 |

1011 | 13 |

1100 | 14 |

1101 | 15 |

1110 | 16 |

1111 | 17 |

10000 | 20 |

10001 | 21 |

## Example

Convert 1101110011_{2} to octal:

Step | Group 1 | Group 2 | Group 3 | Group 4 |
---|---|---|---|---|

Step 1 | 001 | 101 | 110 | 011 |

Step 2 | 421 | 421 | 421 | 421 |

Step 3 | 001 | 401 | 420 | 021 |

Step 4 | 1 | 5 | 6 | 3 |

Step 4 | 1563 |

1101110011_{2} = 1563_{8}