# Hex to Decimal Converter

**convert a hex value to a decimal**. Hex is a number system made up of 16 symbols (base 16). Decimal is made up of 10 symbols (base 10). More information is available here.

**Disclaimer:** Whilst every effort has been made in building this calculator, we are not to be held
liable for any damages or monetary losses arising out of or in connection with the use of it.
This tool is here purely as a service to you, please use it at your own risk. Full disclaimer.
Do not use calculations for anything where loss of life, money, property, etc could result from inaccurate calculations.

## Decimal and Hex(adecimal)

Decimals are numbers as we use them in our daily lives; whole numbers, like those used for counting items. Decimal is called **base 10**, because it uses 10 distinct numbers to count.

i.e. **0, 1, 2, 3, 4, 5, 6, 7, 8, 9.**

Hex numbers, or "hexadecimal", to use its full name, is **base 16**. It uses 16 distinct characters to count.

i.e. **0, 1, 2, 3, 4, 5, 6, 7, 8, 9,** plus the letters **A, B, C, D, E, F.**

Putting these numbers side by side, we can get an idea of how to convert the most basic of decimal numbers to hex:

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 A B C D E F

Seeing decimal and hex numbers together like this, we can easily see that **10** in decimal is the same as **A** in hex, and **15** in decimal is **F** in hex.

### Hex in HTML

Hex numbers have been used in groups of six digits to represent colours on the World Wide Web. This is because a six-digit hex number represents the three colours red, blue and green (RGB), as three groups of two digits.

Taking as an example the colour purple, it's represented as **FF00FF**.

If we split this down, we can see the three groups:

FF 00 FF |Red|Green|Blue|

This represents purple because **FF** is the highest two-digit hex number possible, while **00** is the lowest. Red and blue mixed together form the colour purple.

**Note:** If a valid six-digit (or three-digit) hex number is entered in the form above, the corresponding set of decimal RGB values will also be given, in addition to the overall decimal result.

## How to convert from hex to decimal

- Take a hex number and, starting from the right of it, take each character one at a time.
- Look up the corresponding decimal in the hex-decimal comparison list above (e.g. A = 10, F = 15).
- Multiply that corresponding decimal by an increasing multiple (power) of 16 (e.g. 16
^{0}, 16^{1}, 16^{2}etc). - Add up the results.

### Example of hex to decimal conversion

Let's take the hex number **A3C2**. It is made up of A, 3, C, 2. So we start on the right, with **2**, and work backwards.

- 2 x (16
^{0}) = 2 x 1 =**2** - C x (16
^{1}) =**12**x 16 =**192** - 3 x (16
^{2}) = 3 x (16 x 16) = 3 x 256 =**768** - A x (16
^{3}) =**10**x (16 x 16 x 16) = 10 x 4096 =**40960**

Add the results together:

- 2 + 192 + 768 + 40960 =
**41922**

**So the decimal equivalent of A3C2 is 41922.**

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