## Hexadecimal to Octal Converter

Use this Hexadecimal to Octal converter to convert base-16 numbers (hexadecimal) into base-8 (Octal Numbers).

This is a free converter that instantly converts the hexadecimal numbers into an octal number system.

## What is the Hexadecimal Number?

Hexadecimal Numbers is base-16 numbers which mean it uses 16 digits to represent a number. It is represented by h16 where “h” represents the hexadecimal numbers while 16 is the base number.

The hexadecimal number may contain the alphabets and numbers. It includes the numbers from 0 to 9 while the alphabets include A to F.

**Examples of Hexadecimal Numbers: (3BF1)16, (76B)16 **

## What are Octal Numbers?

The Octal Number is another number system that includes the base-8 numbers. These include 0-7 digits with a total of 8 digits.

It is usually represented by O8, where the alphabet “O” represents the Octal numbers and the “8” represents the base number.

**Examples of Hexadecimal Numbers: (331)8, (57)8**

## Method of Hexadecimal to Octal Conversion

The conversion of Hexadecimal to Octal number conversion is not carried out directly. You need to convert the hexadecimal into the decimal numbers first and later, you need to convert the decimal into octal.

Here are the steps to convert the hexadecimal to octal numbers.

- Count the number of digits in the hexadecimal numbers
- From right, if n is the position of the digit and then use 16n-1 to multiply each digit
- the resultant is the decimal number
- Note the remainder and repeat the entire process continues until the quotient is zero
- Write down the remainders in reverse order and this is the octal number

## Hexadecimal to Octal conversion table

**Hexadecimal decimal** | **Octal Number** |

0 | 0 |

1 | 1 |

2 | 2 |

3 | 3 |

4 | 4 |

5 | 5 |

6 | 6 |

7 | 7 |

8 | 8 |

9 | 9 |

A | 10 |

B | 11 |

C | 12 |

D | 13 |

E | 15 |

F | 16 |