Essential Computer Hardware

Convert Decimal to Hexadecimal

To convert a decimal number to hexadecimal, you divide the decimal number by 16, noting the remainder.

For example, lets convert 150010 to hexadecimal.

First, divide 1500 by 16

1500 / 16 = 93 (ignore the decimal point)

To find the remainder, multiply your answer by 16

93 x 16 = 1488

Subtract the answer you get from 1500

1500 - 1488 = 12

The remainder is 12

So, going back to our conversion we can write:

1500 / 16 = 93 r 12

Next, divide 93 by 16

93 / 16 = 5

Find the remainder

5 x 16 = 80

Subtract the answer you get from 93

93 - 80 = 13

The remainder is 13

Going back to our conversion we get

93 / 16 = 5 r 13

Write it under the previous divide step

1500 / 16 = 93 r 12

93 / 16 = 5 r 13

We can’t divide 5 by 16 so we ...