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Hex to Decimal conversion involves converting one number to another in a number system. The Hexadecimal number system—also called base-16—functions virtually identically to the decimal and binary systems. Instead of a base of 10 or 2, respectively, it uses a base of 16. Hex uses 16 digits, including 0-9 as in the decimal system, and letters A, B, C, D, E, and F to represent the numbers 10-15. It is typically used in computing and electronic devices to represent large binary numbers.

A Hex to Decimal number system is also referred to as a positional number system where each digit is based on the power of 16. Each digit is 16 times more than the previous digit. In Hexadecimal, there are 16 notations - 0 to 15, and 10 to 15 is represented as A, B, C, D, E, F. On the other hand, in decimal number system, 10 notations are expressed as 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Therefore, converting Hexadecimal numbers to other number systems involves multiplying the digits individually, keeping the power of 16 according to the digit's position.

The decimal number system uses digits from 0-9 with a base-10 numbering system to represent all possible numbers. Each value in this number system is denoted by 0 or by the first nine positive integers. In the decimal number system, each value represents the power of 10. It means the tens place digit is ten times greater than the unit place digit. The decimal number system is also known as the denary or base-10 system.

To convert a hexadecimal number to decimal, the base 16 is used. First, the hexadecimal digit is multiplied by 16's power for each number of digits in a row, starting with 0 on the right and progressing to the right. Once all digits are multiplied, the numbers are added together.

Shown below is the conversion table for hexadecimal to decimal.

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

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 |

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