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Hexadecimal number:

34

Decimal to Hexadecimal Conversion

(52)_{10} = (34)_{16}

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If you’re working with numbers in computer programming or digital electronics, you may come across the need to convert decimal numbers to hexadecimal.

Hexadecimal, or base 16, uses 16 digits instead of 10, which allows for a more compact representation of large numbers. In this guide, we’ll explain the steps to convert decimal to hexadecimal, provide examples, and include a conversion table for reference.

To convert a decimal number to hexadecimal, follow these steps:

- Divide the decimal number by 16.
- Write down the integer quotient and the remainder.
- Convert the remainder to a hexadecimal digit (see conversion table below).
- Repeat steps 1-3 with the integer quotient until it is equal to 0.
- Write the hexadecimal digits in reverse order to get the final result.

Example #1: Convert 756210 to Hexadecimal

Division by 16:

Division by 16 | Quotient (integer) | Remainder (decimal) | Remainder (hex) | Digit # | |
---|---|---|---|---|---|

1 | 7562/16 | 472 | 10 | A | 0 |

2 | 472/16 | 29 | 8 | 8 | 1 |

3 | 29/16 | 1 | 13 | D | 2 |

4 | 1/16 | 0 | 1 | 1 | 3 |

Therefore, 756210 in decimal is equivalent to 1D8A16 in hexadecimal.

Example #2: Convert 3563110 to Hexadecimal

Division by 16:

Division by 16 | Quotient | Remainder (decimal) | Remainder (hex) | Digit # | |
---|---|---|---|---|---|

1 | 35631/16 | 2226 | 15 | F | 0 |

2 | 2226/16 | 139 | 2 | 2 | 1 |

3 | 139/16 | 8 | 11 | B | 2 |

4 | 8/16 | 0 | 8 | 8 | 3 |

Therefore, 3563110 in decimal is equivalent to 8B2F16 in hexadecimal.

To help with decimal to hexadecimal conversions, use this table as a reference:

Decimal (base 10) | Hexadecimal (base 16) |
---|---|

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 |

40 | 28 |

50 | 32 |

60 | 3C |

70 | 46 |

80 | 50 |

90 | 5A |

100 | 64 |

200 | C8 |

1000 | 3E8 |

2000 | 7D0 |

Converting decimal to hexadecimal is a simple process that can be done by following a few easy steps. Remember to use the conversion table provided for reference and to double-check your results. With this knowledge, you’ll be able to work with hexadecimal numbers in various applications with ease.