Octal is a `base-8`

numbering system that uses eight digits, from 0 to 7. Binary is a `base-2`

numbering system that uses two digits, 0 and 1. In order to convert an octal number to binary number, you need to convert each octal digit to its corresponding binary representation.

## Conversion

Here are the steps to convert an octal number to binary number:

- Identify the octal number you want to convert.
- Convert each octal digit to its corresponding binary representation. You can use the table below to find the corresponding binary representation for each octal digit.
- Combine the binary representations to form the final binary number. Starting from the leftmost digit, combine the binary representations of each octal digit to form the final binary number.

## Example

Let’s say we have the octal number 345. To convert this octal number to binary number, we need to convert each octal digit to its corresponding binary representation:

```
3 -> 011
4 -> 100
5 -> 101
```

Combining these binary representations, we get the final binary number `011100101`

.

## Octal-Binary Table

Octal | Binary |
---|---|

0 | 000 |

1 | 001 |

2 | 010 |

3 | 011 |

4 | 100 |

5 | 101 |

6 | 110 |

7 | 111 |