CC8B hexadecimal to binary

Here we will show you how to convert the hexadecimal number CC8B 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 CC8B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CC8B by 16⁰, multiply the second to last digit in CC8B by 16¹, multiply the third to last digit in CC8B by 16², multiply the fourth to last digit in CC8B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
8 × 16¹ = 128
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:

11 + 128 + 3072 + 49152 = 52363

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.

52363 ÷ 2 = 26181 with 1 remainder
26181 ÷ 2 = 13090 with 1 remainder
13090 ÷ 2 = 6545 with 0 remainder
6545 ÷ 2 = 3272 with 1 remainder
3272 ÷ 2 = 1636 with 0 remainder
1636 ÷ 2 = 818 with 0 remainder
818 ÷ 2 = 409 with 0 remainder
409 ÷ 2 = 204 with 1 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 CC8B hexadecimal to binary:

CC8B hexadecimal = 1100110010001011 binary

Hexadecimal to Binary Converter
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CC8C hexadecimal to binary
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