# Octal to HEX

## Octal Number System:

The base-8 number system known as "oct," or just "oct," employs the digits 0 to 7 to represent numbers. By arranging a series of binary digits in groups of three, it is possible to create octal numerals (starting from the right).

## Hexadecimal Number System:

Hexadecimal, often known as base 16 or hex, is a positional numeric system used in mathematics and computers. Its base, or radix, is 16. It employs sixteen different symbols, the most common of which are 0-9 for values 0 to 9, and A,B,C,D,E,F (or a, b, c, d, e, f) for values 10 to 15.

## How to convert Octal to Hex?

The base-8 number system known as "oct," or just "oct," employs the digits 0 to 7 to represent numbers. Hexadecimal is sometimes replaced with an octal in computing, with file permissions under Unix systems being the area where it is used most frequently nowadays. It has the benefit of not needing any additional symbols for the digits. Additionally, digital displays make use of it.

Programmers and designers of computer systems frequently employ hexadecimal numbers because they offer a readable illustration of binary-coded values. Using a base of 16, the positional system of hexadecimal represents numbers. It employs sixteen different symbols instead of the usual ten, most frequently "0" through "9" to represent values 0 through 9, and "A" through "F" to represent values 10 through 15.

### Formula

**To transform an octal number into the hexadecimal form, follow these steps:**

- The most straightforward method is to change the octal number to decimal, then the decimal to hexadecimal form.
- Alongside the octal numbers, list the powers of 8 (1, 8, 64, 512, 4096, and so on) from bottom to top.
- Divide every digit by its power.
- Total the results. The decimal answer is as follows.
- The decimal number is divided by 16.
- For the following iteration, obtain the integer quotient (if the number does not divide equally by 16, then round down the result to the nearest whole number).
- The remaining amount, between 0 and 15, should be noted.
- Till the quotient equals 0, keep going through the steps from FTE step 4.
- From bottom to top, type out every last bit of information.
- Any remainders over 9 should be written in hexadecimal format. This is the answer to the hex.

## Octal to Hexadecimal conversion table

Octal | Hexadecimal |
---|---|

0 | 0 |

1 | 1 |

2 | 2 |

3 | 3 |

4 | 4 |

5 | 5 |

6 | 6 |

7 | 7 |

10 | 8 |

11 | 9 |

12 | A |

13 | B |

14 | C |

15 | D |

16 | E |

17 | F |

20 | 10 |