# Online Decimal to Hexadecimal converter

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# Decimal to Hexadecimal converter

## How to convert from decimal to hex

#### Conversion steps:

- Divide the number by 16.
- Get the integer quotient for the next iteration.
- Get the remainder for the hex digit.
- Repeat the steps until the quotient is equal to 0.

#### Example #1

Convert 7562_{10} to hex:

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

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

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

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

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

So 7562_{10} = 1D8A_{16}

#### Example #2

Convert 35631_{10} to hex:

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

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

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

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

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

So 35631_{10} = 8B2F_{16}

#### Decimal to Hexadecimal

The decimal numeral system is the most commonly used and the standard system in daily life. It uses the number 10 as its base (radix). Therefore, it has 10 symbols: The numbers from 0 to 9; namely 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.The hexadecimal system (shortly hex), uses the number 16 as its base (radix). As a base-16 numeral system, it uses 16 symbols. These are the 10 decimal digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and the first six letters of the English alphabet (A, B, C, D, E, F). The letters are used because of the need to represent the values 10, 11, 12, 13, 14 and 15 each in one single symbol.

#### How to convert from decimal to hex

Conversion steps:

1. Divide the number by 16.

2. Get the integer quotient for the next iteration.

3. Get the remainder for the hex digit.

4. Repeat the steps until the quotient is equal to 0.

#### Example:

Convert (7562)_{10} to hex:

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

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

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

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

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

So (7562)_{10} = (1D8A)_{16}