# Decimal To Octal Converter

__Mixed Decimal to Octal Converter__

To find the Octal equivalent of given Decimal number using Mixed Decimal Octal Converter, type the Decimal number to be converted in the below given text box. Then press the “Click here to Convert” button for getting the Octal equivalent of the given Decimal number. It is possible to covert any length of Decimal digits. The Decimal to Octal Converter can support both Integer number as well as Real number. It is possible to covert any length of mixed Decimal (Integer with Real) Number to Octal equivalent.

(Enter your Decimal Number in the Below given Text Box)

## Decimal Number System :

The Decimal Number System consist of ten digits such as 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. It is an Arabic numbers and which are used for our common use. Because of the Decimal Number System consist of only ten digits and so that the base of the Decimal Number System is 10. The weights of each digit positions in the mixed Decimal Number System are . . . . 10^{3} 10^{2} 10^{1} 10^{0} . 10^{-1} 10^{-2} 10^{-3} 10^{-4} . . . .

## Octal Number System :

The Octal Number System consist of eight digits such as 0 to 7. Because of the Octal Number System consist of only eight digits and so that the base of Binary Number System is 8. The weights of each digit positions in the mixed Octal Number System are . . . . 8^{3} 8^{2} 8^{1} 8^{0} . 8^{-1} 8^{-2} 8^{-3} 8^{-4} . . . .

### How to Convert Decimal to Octal ?

#### How to Convert Integer part of Decimal to Octal ?

To Convert the **Integer part** of a given Decimal number to Octal equivalent, we should divide the given decimal number by 8 and write down the remainder on right side of each division. Continue the process (divide the number again and again and write down the remainder on right side of each division) till the given number can be divided by 8. Then write down the remainders from bottom to top to form the Octal equivalent. The below given example is done by using Decimal to Octal Conversion method.

#### How to Convert Fractional part of Decimal to Octal ?

To Convert the **Real part** of a given Decimal number to Octal equivalent, we should multiply the given fractional (real) part of the given decimal number by 8 and write down the carries on right side of each multiplication. Continue the process for a minimum of five or six steps. Then write down the carries from Top to bottom to form the Octal equivalent. Moreover, the below example is also done by using Decimal to Octal Conversion method.

## Examples using Decimal Octal Converter

**Decimal to Octal Conversion Example 1:**

Let us find the Octal number of (513.32)_{10} using Decimal Octal Converter

Given Decimal number : (513.32)_{10}

Octal equivalent of the Decimal number is :

**Integer Part Conversion**:-

__Remainders__

513 / 8 = 64 ——————— 1

64/ 8 = 8 ———————— 0

8 / 8 = 1 ———————— 0

———————————– 1

**Real Part Conversion**:-

__Carries__

0.32 * 8 => 2.56 ——— 2

0.56 * 8 => 4.48 ——— 4

0.48 * 8 => 3.84 ——— 3

0.84 * 8 => 6.72 ——— 6

0.72 * 8 => 5.76 ——— 5

Octal equivalent of (513.32)_{10} is (1001.24365)_{8}

**Decimal to Octal Conversion Example 2:**

Let us find the Octal number of (2473673.637682)_{10} using Decimal Octal Converter

Given Decimal number : (2473673.637682)_{10}

Octal equivalent of the Decimal number is :

**Integer Part Conversion**:-

__Remainders__

2473673 / 8 = 309209 ————- 1

309209 / 8 = 38651 ————— 1

38651 / 8 = 4831 —————– 3

4831 / 8 = 603 ——————- 3

603 / 8 = 75 ——————— 7

75/ 8 = 9 ———————— 3

9 / 8 = 1 ———————— 1

———————————– 1

**Real Part Conversion**:-

__Carries__

0.637682 * 8 => 5.101456 ——— 5

0.101456 * 8 => 0.811648 ——— 0

0.811648 * 8 => 6.493184 ——— 6

0.493184 * 8 => 3.945472 ——— 3

0.945472 * 8 => 7.563776 ——— 7

Octal equivalent of (2473673.637682)_{10} is (11337311.50637)_{8}

### Decimal to Octal Conversion Chart using Mixed Decimal to Octal Converter:

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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