C8C2 hexadecimal to binary

Here we will show you how to convert the hexadecimal number C8C2 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 C8C2 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C8C2 by 16⁰, multiply the second to last digit in C8C2 by 16¹, multiply the third to last digit in C8C2 by 16², multiply the fourth to last digit in C8C2 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
C × 16¹ = 192
8 × 16² = 2048
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:

2 + 192 + 2048 + 49152 = 51394

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.

51394 ÷ 2 = 25697 with 0 remainder
25697 ÷ 2 = 12848 with 1 remainder
12848 ÷ 2 = 6424 with 0 remainder
6424 ÷ 2 = 3212 with 0 remainder
3212 ÷ 2 = 1606 with 0 remainder
1606 ÷ 2 = 803 with 0 remainder
803 ÷ 2 = 401 with 1 remainder
401 ÷ 2 = 200 with 1 remainder
200 ÷ 2 = 100 with 0 remainder
100 ÷ 2 = 50 with 0 remainder
50 ÷ 2 = 25 with 0 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 C8C2 hexadecimal to binary:

C8C2 hexadecimal = 1100100011000010 binary

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