## How to convert Octal to Decimal

The octal numeral system, or oct for short, is the base-8 number system, and uses the digits 0 to 7. Octal is sometimes used in computing instead of hexadecimal, perhaps most often in modern times in conjunction with file permissions under Unix systems. It has the advantage of not requiring any extra symbols as digits. It is also used for digital displays.The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu-Arabic numeral system. For writing numbers, the decimal system uses ten decimal digits, a decimal mark, and, for negative numbers, a minus sign "-". The decimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9; the decimal separator is the dot "." in many countries.

**Formula**

Follow these steps to convert a octal number into decimal form:

- Write the powers of 8 (1, 8, 64, 512, 4096, and so on) beside the octal digits from bottom to top.
- Multiply each digit by it's power.
- Add up the answers. This is the solution.

Digit | Power | Multiplication |
---|---|---|

5 | 4096 | 20480 |

0 | 512 | 0 |

1 | 64 | 64 |

7 | 8 | 56 |

3 | 1 | 3 |