Counting in Hexadecimal

When searching for how to convert decimal numbers to hexadecimal it may seem like a daunting task. Until you learn about modulo.

The easiest way for me to count in Hex is by counting in decimal and converting to Hexadecimal using the modulo operator(like a programmer).

1. First you divide the decimal number by 16
2. Math.floor() the Division Result
3. Find the Division Remainder using modulo
4. Divide the number of your Division Result by 16
5. Repeat the previous steps until your Division Result is 0

For this example we will use the decimal number 53

Divide	Division Result	Division Remainder
53 / 16	Math.floor(3.3125) = 3	53 % 16 = 5
3 / 16	Math.floor(0.1875) = 0	3 % 16 = 3

We take the remainders going from the latest remainder to the one we got first. In this case 3 5(the order is important).

Then we use this table to translate the remainders into hex

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

Now we translate the result into hex using the table and concatenate the result. 3 turns into 3
5 turns into 5
The result is 3 5 and when concatenated the final result is 35. In order to indicate its a hex number you write "#" symbol. So #35 is the equivalent of 53dec(decimal).

More Examples:

• Remainders 12 15 3 turn into #CF3
• Remainders 5 10 14 turn into #5AE

Now practice until you get the hang of it!