CC08 hexadecimal to binary

Here we will show you how to convert the hexadecimal number CC08 to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert CC08 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CC08 by 16⁰, multiply the second to last digit in CC08 by 16¹, multiply the third to last digit in CC08 by 16², multiply the fourth to last digit in CC08 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
0 × 16¹ = 0
C × 16² = 3072
C × 16³ = 49152

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

8 + 0 + 3072 + 49152 = 52232

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

52232 ÷ 2 = 26116 with 0 remainder
26116 ÷ 2 = 13058 with 0 remainder
13058 ÷ 2 = 6529 with 0 remainder
6529 ÷ 2 = 3264 with 1 remainder
3264 ÷ 2 = 1632 with 0 remainder
1632 ÷ 2 = 816 with 0 remainder
816 ÷ 2 = 408 with 0 remainder
408 ÷ 2 = 204 with 0 remainder
204 ÷ 2 = 102 with 0 remainder
102 ÷ 2 = 51 with 0 remainder
51 ÷ 2 = 25 with 1 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to CC08 hexadecimal to binary:

CC08 hexadecimal = 1100110000001000 binary

Hexadecimal to Binary Converter
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