Octal is a `base-8`

numbering system that uses eight digits, from 0 to 7. Decimal is a `base-10`

numbering system that uses ten digits, from 0 to 9. In order to convert an octal number to decimal number, you need to multiply each octal digit by its corresponding power of 8 and then add up the results.

## Conversion

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

- Identify the octal number you want to convert.
- Write down the powers of 8. Starting from the rightmost digit, write down the powers of 8 in increasing order from left to right.
- Multiply each octal digit by its corresponding power of 8. Starting from the rightmost digit, multiply each octal digit by its corresponding power of 8.
- Add up the results. Add up the results from step 3 to get the decimal equivalent of the octal number.

## Example

Let’s say we have the octal number 345. To convert this octal number to decimal number, we need to multiply each octal digit by its corresponding power of 8 and then add up the results:

```
5 * 1 = 5
4 * 8 = 32
3 * 64 = 192
```

Adding up the results, we get the decimal equivalent of the octal number:

$5 + 32 + 192 = 229$

Therefore, the octal number `345`

corresponds to the decimal number `229`

.

## Octal-Decimal Table

Here’s a table of decimal numbers and their octal equivalents:

Octal | Decimal |
---|---|

0 | 0 |

1 | 1 |

2 | 2 |

3 | 3 |

4 | 4 |

5 | 5 |

6 | 6 |

7 | 7 |

10 | 8 |