Topics / Number Systems / Converting Decimal to Hexadecimal

# Converting Decimal to Hexadecimal

There are several ways to convert decimal (sometimes called denary, or base 10) numbers into hexadecimal (base 16).

The video below gives a step by step guide on how to convert decimal numbers into binary code using the ‘divide by 16’ method.

### Here’s how it works:

- Divide the decimal number by 16.
- If the number will not divide equally by 16, then round down the answer to the nearest whole number (integer).
- Keep a note of the remainder, it should be between 0 and 15.
- Keep repeating the above steps, dividing each answer by 16, until you reach zero.
- Write out all the remainders, from bottom to top.
- Finally, convert any remainders bigger than 9 into hexadecimal letters. This is your solution.

### Decimal to hexadecimal, a step by step video guide:

### Decimal to hexadecimal table:

Decimal | Hexadecimal |
---|---|

0 | 0 |

1 | 1 |

2 | 2 |

3 | 3 |

4 | 4 |

5 | 5 |

6 | 6 |

7 | 7 |

8 | 8 |

9 | 9 |

10 | A |

11 | B |

12 | C |

13 | D |

14 | E |

15 | F |