# Octal To Decimal Converter

__Mixed Octal to Decimal Converter__

To convert Octal to Decimal equivalent using Mixed Octal Decimal Converter, enter an Octal number in the below given text box. Then press the “Click here to Convert” button to get the Decimal value of the given Octal number. It is possible to covert any length of Octal digits. This Octal to Decimal Converter is able to convert a maximum of 21 digits Octal number very easily. This Converter can convert both Integer and Real number.

(Enter your Octal Number in the Below Text Box)

## Octal Number System

The Octal Number System has only 8 digits such as 0, 1, 2, 3, 4, 5, 6, and 7. Since the Number System contains only eight digits, the base of the Octal Number System is 8. In an Octal Number System, each digit position has its own weight. The weights of a mixed Octal Number System are . . . . 8^{3} 8^{2} 8^{1} 8^{0} . 8^{-1} 8^{-2} 8^{-3} 8^{-4} . . . .

## Decimal Number System

The Decimal Number System has only ten digits namely 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. As we know that it is an Arabic numbers and are used for common use. Since the Number System contains only ten digits, the base of the Decimal Number System is 10. It is clear that, each digit positions in a Decimal Number have its own weight. The weights of a mixed Decimal Number are . . . . 10^{3} 10^{2} 10^{1} 10^{0} . 10^{-1} 10^{-2} 10^{-3} 10^{-4} . . . .

### Steps to Convert Octal to Decimal

The steps required to convert the given octal number to decimal is as follows. To Convert an octal number to decimal, we must multiply each digit present in the given octal number by its weight. Then add the product terms together to make the decimal equivalent. This method is applicable for both Integer and real part. A few examples have been done by using Octal to Decimal Conversion method.

## Examples using Octal to Decimal Converter

**Octal to Decimal Conversion Example 1:**

Let us find the decimal equivalent of Octal number (641.32)_{8} using Octal to Decimal Converter

Given Octal number : (641.32)_{8}

Decimal equivalent of the Octal number is :

6*8^{2} + 4*8^{1} + 1*8^{0} + 3*8^{-1} + 2*8^{-2} = 417.40625

Decimal equivalent of (641.32)_{8} is (417.40625)_{10}

**Octal to Decimal Conversion Example 2:**

Let us find the decimal equivalent of Octal number (536274.36527)_{8} using Octal to Decimal Converter

Given Octal number : (536274.36527)_{8}

Decimal equivalent of the Octal number is :

5*8^{5} + 3*8^{4} + 6*8^{3} + 2*8^{2} + 7*8^{1} + 4*8^{0} + 3*8^{-1} + 6*8^{-2} + 5*8^{-3} + 2*8^{-4} + 7*8^{-5} = 179388.479218

Decimal equivalent of (536274.36527)_{8} is (179388.479218)_{10}

**Octal to Decimal Conversion Example 3:**

Let us find the decimal equivalent of Octal number (321342.374652)_{8} using Octal to Decimal Converter

Given Octal number : (321342.374652)_{8}

Decimal equivalent of the Octal number is :

3*8^{5} + 2*8^{4} + 1*8^{3} + 3*8^{2} + 4*8^{1} + 2*8^{0} + 3*8^{-1} + 7*8^{-2} + 4*8^{-3} + 6*8^{-4} + 5*8^{-5}+ 2*8^{-5} = 107234.493813

Decimal equivalent of (321342.374652)_{8} is (107234.493813)_{10}

### Octal to Decimal Conversion Chart :

Here, I have include a Octal to Decimal Conversion Chart. Because of using Conversion Chart the viewers can easily understand about how to convert an octal number to its equivalent decimal. The Octal to Decimal Conversion Chart is follows :

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

0 | 0 |

1 | 1 |

2 | 2 |

3 | 3 |

4 | 4 |

5 | 5 |

6 | 6 |

7 | 7 |

10 | 8 |

11 | 9 |

12 | 10 |

13 | 11 |

14 | 12 |

15 | 13 |

16 | 14 |

17 | 15 |

20 | 16 |

21 | 17 |

22 | 18 |

23 | 19 |

24 | 20 |

25 | 21 |

26 | 22 |

27 | 23 |

30 | 24 |

31 | 25 |

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