# Hexadecimal to Decimal Converter

To use this online **hex to decimal converter** tool,
type a hex value like 1E into the left field below, and then hit the Convert button.
You can convert up to 16 hex characters (max. value of 7fffffffffffffff) to decimal.

### Hex to decimal conversion result in base numbers

## How to Calculate Hexadecimal to Decimal

Hex is a base 16 number and decimal is a base 10 number. We need to know the decimal equivalent of every hex number digit.
See below of the page to check the hex to decimal chart.

Here are the steps to convert hex to decimal:

- Get the decimal equivalent of hex from table.
- Multiply every digit with 16 power of digit location.

(zero based, 7DE: E location is 0, D location is 1 and the 7 location is 2) - Sum all the multipliers.

7DE is a hex number 7DE = (7 * 16^{2}) + (13 * 16^{1}) + (14 * 16^{0}) 7DE = (7 * 256) + (13 * 16) + (14 * 1) 7DE = 1792 + 208 + 14 7DE = 2014 (in decimal number)

## Hex System

**Hex**, or *hexadecimal*, is a number system of base 16.
This number system is especially interesting because in our casually used decimal system
we have only 10 digits to represent numbers. As hex system has 16 digits,
the extra needed 6 digits are represented by the first 6 letters of English alphabet.
Hence, **hex** digits are 0,1,2,3,4,5,6,7,8 and 9 A, B, C, D, E, F.
This number system is the most commonly used in mathematics and information technologies.
I.e. in html programming colors can be represented by a 6-digit *hexadecimal number*: FFFFFF represents white,
000000 represents black, and so on.

## Decimal System

**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.

As one of the oldest known numeral systems, the **decimal numeral system** has been used by many ancient civilizations. The difficulty of representing very large numbers in the decimal system was overcome by the Hindu–Arabic numeral system. The Hindu-Arabic numeral system gives positions to the digits in a number and this method works by using powers of the base 10; digits are raised to the n^{th} power, in accordance with their position.

For instance, take the number 2345.67 in the decimal system:

- The digit 5 is in the position of ones (10
^{0}, which equals 1), - 4 is in the position of tens (10
^{1}) - 3 is in the position of hundreds (10
^{2}) - 2 is in the position of thousands (10
^{3}) - Meanwhile, the digit 6 after the decimal point is in the tenths (1/10, which is 10
^{-1}) and 7 is in the hundredths (1/100, which is 10^{-2}) position - Thus, the number 2345.67 can also be represented as follows:
(2 * 10
^{3}) + (3 * 10^{2}) + (4 * 10^{1}) + (6 * 10^{-1}) + (7 * 10^{-2})

#### Hex to decimal conversion examples

- (1D9)
_{16}= (473)_{10} - (80E1)
_{16}= (32993)_{10} - (10CE)
_{16}= (4302)_{10}

#### Hex to Decimal Conversion Chart

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 |