# Decimal to Hexadecimal Converter

Enter a decimal number below to convert it to hex.

## How to Convert Decimal to Hex

The decimal number system is the number system many of us use daily. Also referred to as *denary*, is a base 10 number system, meaning it is comprised of 10 digits, 0, 1, 2, 3, 4, 5, 6, 7, 8 & 9.

Hexadecimal numbers, also referred to as just hex, are base 16 numbers. They are often used in computing applications because two hex digits can cleanly represent one binary byte.

### Hexadecimal Digits

Hex numbers use the digits, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e & f. This table shows the decimal value for each hexadecimal digit.

Hexadecimal Digit | Decimal Value |
---|---|

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 | 14 |

f | 15 |

### Steps to Convert

Now that you understand the representation of a base 16 number, you can convert from decimal to hex using successive division by 16. Whoa, you’re probably wondering what that even means.

To use the successive division method, divide the decimal number by 16 using long division. There should be a remainder of 0 through 15; write that to the side of the division problem. For remainders larger than 9, use the table above to find the equivalent hex digit.

Take the result of the first division problem and divide that by 16 again. Like before, there should be a remainder, which you should write to the side of the problem.

Continue this process until the result is 0.

The remainders that you wrote to the side of the division problems are the resulting hexadecimal number. The number should be read from the bottom to the top since the least significant digit will be at the top, and the most significant digit will be at the bottom.

**For example,** let’s convert 445 from base 10 to base 16.

445 ÷ 16 = 27 R 13 (13 → d)

27 ÷ 16 = 1 R 11 (11 → b)

1 ÷ 16 = 0 R 1

Reading the remainders from the bottom up is 1bd, so 445_{10} is equivalent to 1bd_{16}.

Want to convert back to decimal to confirm this answer? Try our hex to decimal converter.

## Decimal to Hex Conversion Table

The table below shows decimal numbers and the equivalent hex number values.

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

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 |

16 | 10 |

17 | 11 |

18 | 12 |

19 | 13 |

20 | 14 |

21 | 15 |

22 | 16 |

23 | 17 |

24 | 18 |

25 | 19 |

26 | 1a |

27 | 1b |

28 | 1c |

29 | 1d |

30 | 1e |

31 | 1f |

32 | 20 |

64 | 40 |

128 | 80 |

256 | 100 |

512 | 200 |

1024 | 400 |

2048 | 800 |