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* Decimal - Octal Converter* is an online tool to perform conversion between decimal to octal number systems in digital electronics & communications. The solved example problems & conversion table may useful to understand how to do such binary - octal conversions manually. By using this converter user may find the equivalent octal or decimal numbers for the decimal or octal input respectively by slecting the appropriate radio button & supplying the respective inputs.

0, 1, 2, 3, 4, 5, 6, 7, 8 & 9 are the decimal numbers, generally represented by base-10 notation in digital electronics & communications. Whereas, the digits 0, 1, 2, 3, 4, 5, 6 & 7 are known as octal numbers generally represented by base-8 notation. The decimal to octal conversion can be done by using the MOD-8 operation. The below step by step calculation may useful perform such conversions manually.

__step 1:__ Perform the MOD-8 operation for the given decimal number.

__step 2:__ Arrange remainder from the bottom to top as shown in the below figure, is the equivalent octal number.

**Solved Example Problem**

The below solved example problem may useful to understand how to perform decimal to octal number conversion.

**Problem**

Convert the decimal 143_{10} to its octal equivalent.

This conversion can be done by adding the multiplication of each digit of octal number with its increasing power of 8 from right to left. The below steps may useful to know how to perform octal to binary number conversion.

__step 1:__ Separate the digits of the given octal number, if it contains more than 1 digit.

__step 2:__ Multiply each digit of octal number with its increasing power of 8 from right to left.

__step 4:__ Add all the individual results provides the equivalent decimal number.

**Solved Example Problem**

The below solved example problem may useful to understand how to perform octal to decimal number conversion.

**Problem**

Convert the octal number 143_{8} to its decimal equivalent.

**Number Conversion Table**

The below is the conversion table for Decimal, Binary, Octal & Hex number systems.

Decimal |
Binary |
Octal |
Hex |
---|---|---|---|

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 |

In digital electronics & communications, the conversion between different number systems play vital role to perform various operations. The above solved example & number conversion table may useful to understand how to perform decimal - octal calculations, however, when it comes to online, this decimal - octal converter may useful to perform such computations as easy & quick as possible.

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