## Decimal to Octal Converter

## Enter Decimal Number

## Octal Number

**Overview**:

Many people are familiar with decimal numbers. The decimal number system is base-10 and consists of the digits 0-9. The octal number system, on the other hand, is base-8 and consists of the digits 0-7. Octal numbers were once widely used by early computers and programming languages but have now been replaced by the more versatile binary numeral system. If you need to convert from decimal to octal, however, then here is a simple online converter.

**How to use the tool?**

This converter will help you to convert from decimal to octal easily. The way this tool works is that it takes your decimal number, like 12 for example and turns it into the equivalent octal value.

**Q: How to Decimal to Octal Converter?**

Convert decimal number to octal and octal number to decimal. Numbers 0 to 9 are used to represent the decimal number system. So the base of the decimal number system is 10 and the numbers 0 to 7 are used to represent the octal number system. So the base of the octal number system is 8. Now we are going to convert decimal numbers to octal numbers let me take an example of decimal number 130. The base of the octal number is 8.

So we have to divide this decimal number 130 by 8 If we divide 130 by 8 the quotient is 16, the remainder is 2 Again if you divide the 16 by 8 the quotient is 2, the remainder is 0. Now the 2 is not divisible by 8. So we come to the end position. We have to write the answers from bottom to top. So the decimal number 130 is represented as 202 in the octal number system.

Now we will see how to convert this octal number into an equivalent decimal number. The weight associated with the rightmost digit is 8 power 0 then the next digit is 8 power 1 and then the next digit is 8 power 2 and it goes on. So 2* weight associated with the digit is 8 power 0 which is anything power 0 is 1. So 2*1=2. The next digit is 0 and the weight is 8 power 1. So anything multiplied by 0 is 0.

The next digit is 2* the business a square so do in 260 for the best one ta now we have to sum this – 01 28 so some of these three are one 30 so that decimal equivalent of often number 202 is 130 base 10 gone for good – right deep bass associated with each number so far tell you how to mention the bases eighth for this email you should mention the base s10 hope you understand this concept**.**

### Example:

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

0 | 0 | 18 | 22 |

1 | 1 | 19 | 23 |

2 | 2 | 20 | 24 |

3 | 3 | 21 | 25 |

4 | 4 | 22 | 26 |

5 | 5 | 23 | 27 |

6 | 6 | 24 | 30 |

7 | 7 | 25 | 31 |

8 | 10 | 26 | 32 |

9 | 11 | 27 | 33 |

10 | 12 | 28 | 34 |

11 | 13 | 29 | 35 |

12 | 14 | 30 | 36 |

13 | 15 | 31 | 37 |

14 | 16 | 32 | 40 |

15 | 17 | 33 | 41 |

16 | 20 | 34 | 42 |

17 | 21 | 35 | 43 |

**Conclusion:**

The decimal to octal converter is a very simple tool to help you with your everyday conversion needs.

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