# Octal to binary

This converter can convert octal number to binary very quickly, just type your octal number. e.g. you enter '77' you will get '111111'. Negative and floating point numbers are supported. At the same time, you can also choose any conversion between binary to base 36. Binary to octal

Base(default Octal) | |

Octal(base 8) | |

Target base(default binary) | |

Conversion result |

## Knowledge of converter

The octal numeral system, or oct for short, is the base-8 number system, and uses the digits 0 to 7. Octal numerals can be made from binary numerals by grouping consecutive binary digits into groups of three (starting from the right). For example, the binary representation for decimal 74 is 1001010. Two zeroes can be added at the left: (00)1 001 010, corresponding the octal digits 1 1 2, yielding the octal representation 112.

In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 (zero) and 1 (one).

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.

## How to convert octal to binary

- Rules: In order, each 1-digit octal number is rewritten into an equivalent 3-bit binary number, in the same order.

## Example

**Example 1**

Convert octal number 17.36 to binary

17.36_{8} = (001 111 .011 110)_{2} = 1111.01111_{2}

**Example 2**

Convert octal number 2653 to binary

2653_{8} = (010 110 101 011)_{2}=10110101011_{2}

## Octal to binary conversion table

Octal(base 8) | Binary |
---|---|

0 | 0 |

1 | 1 |

2 | 10 |

3 | 11 |

4 | 100 |

5 | 101 |

6 | 110 |

7 | 111 |

10 | 1000 |

11 | 1001 |

12 | 1010 |

13 | 1011 |

14 | 1100 |

15 | 1101 |

16 | 1110 |

17 | 1111 |

20 | 10000 |

50 | 101000 |

100 | 1000000 |

200 | 10000000 |

400 | 100000000 |

500 | 101000000 |

1000 | 1000000000 |