Decimal to Hex Converter
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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 15 0 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 1E7B16 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.
