# Decimal to Hex Converter

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

**Disclaimer:** Whilst every effort has been made in building our calculator tools, we are not to be held
liable for any damages or monetary losses arising out of or in connection with their use. Full disclaimer.

## How to convert from decimal to hex

- Divide the decimal by 16 until the result is 15 or less.
- Take the whole number (before the decimal point) and look up the corresponding hex value in the decimal and hex reference list below (e.g. 10 = A, 15 = F).
- Take the remainder (after the decimal point) and multiply by 16.
- Repeat steps 2 and 3 with the result, until you're left with no remainder.

### Decimal and hex reference list

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 150 1 2 3 4 5 6 7 8 9 A B C D E F

## Example of decimal to hex conversion

Let's take the decimal **7803**. First we **divide** it down by 16.

- 7803 ÷ 16 =
**487.6875**(result over 15, must divide again) - 487.6875 ÷ 16 =
**30.48046875**(result over 15, must divide again) - 30.48046875 ÷ 16 =
**1.9050293** - 0.9050293 x 16 = 14.4804688 (second decimal digit is
**14**) - 0.4804688 x 16 = 7.6875008 (third decimal digit is
**7**) - 0.6875008 x 16 = 11.0000128 (rounds to
**11**, our last decimal digit)

The first decimal digit is **1**. So now we begin **multiplying** the remainder by 16.

**So we have the resulting digits of 1-14-7-11.**

Using the hex-decimal comparison list above again, 1 and 7 are unchanged, while 14 is **E**, and 11 is **B**.

Putting them all together gives us **1E7B**. We can write it as **1E7B _{16}** to show that it's a hex number.

**Note:** Should you wish you convert your decimal to a fraction, give the decimal to fraction calculator a try.

If you have any problems using our decimal to hex calculator, please contact us.