Use our Decimal to Octal converter a free online calculator / conversion tool to convert decimal value into octal number system.

Decimal number system has only ten (10) digits from 0 to 9. Every number (value) represents with 0,1,2,3,4,5,6, 7,8 and 9 in this number system. The base of decimal number system is 10, because it has only 10 digits

Octal number system has only eight (8) digits from 0 to 7. Every number (value) represents with 0,1,2,3,4,5,6 and 7 in this number system. The base of octal number system is 8, because it has only 8 digits.

The best method used in decial to octal conversion is the process of successive division. Divide the decimal number by 8; the remainder is the LSB of the octal number. If the quotation is zero, the conversion is complete. Otherwise repeat step (a) using the quotation as the decimal number. The new remainder is the next most significant bit of the octal number.

**Example : **Convert the decimal number 94_{10} into its octal equivalent.

First divide 94 by 8; the result is 11 as quotation with 6 as remainder.

Now make last quotation 11 as the new decimal number and divide 11 by 8; the result is 1 as quotation with 3 as remainder.

Now make last quotation 1 as the new decimal number and divide 1 by 8; the result is 0 as quotation with 1 as remainder.

Starting from the last remainder whose quotation is zero, treat it as the MSB and write all remainders in reverse sequence after that we get the answer; 136

So, 94_{10} = 136_{8}

Decimal | Binary | Octal | Hexadecimal |
---|---|---|---|

0 | 0000 | 0 | 0 |

1 | 0001 | 1 | 1 |

2 | 0010 | 2 | 2 |

3 | 0011 | 3 | 3 |

4 | 0100 | 4 | 4 |

5 | 0101 | 5 | 5 |

6 | 0110 | 6 | 6 |

7 | 0111 | 7 | 7 |

8 | 1000 | 10 | 8 |

9 | 1001 | 11 | 9 |

10 | 1010 | 12 | A |

11 | 1011 | 13 | B |

12 | 1100 | 14 | C |

13 | 1101 | 15 | D |

14 | 1110 | 16 | E |

15 | 1111 | 17 | F |

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