Convert decimal to hexadecimal
255 in decimal
FF
How it gets there
- Divide by 16, keeping the remainders
- 255 ÷ 16 = 15 remainder F 15 ÷ 16 = 0 remainder F
- Read the remainders upwards
- The last remainder is the leading digit.
Why the working is here
Every other converter of this kind prints the answer and stops. A base is a positional system, so the answer is a sum you can check: each digit is multiplied by the base raised to its position, and the results are added. Going the other way is repeated division, reading the remainders upwards. Neither is a black box, and this page refuses to be one.