C3C8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number C3C8 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 C3C8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C3C8 by 16⁰, multiply the second to last digit in C3C8 by 16¹, multiply the third to last digit in C3C8 by 16², multiply the fourth to last digit in C3C8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
C × 16¹ = 192
3 × 16² = 768
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 + 192 + 768 + 49152 = 50120

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.

50120 ÷ 2 = 25060 with 0 remainder
25060 ÷ 2 = 12530 with 0 remainder
12530 ÷ 2 = 6265 with 0 remainder
6265 ÷ 2 = 3132 with 1 remainder
3132 ÷ 2 = 1566 with 0 remainder
1566 ÷ 2 = 783 with 0 remainder
783 ÷ 2 = 391 with 1 remainder
391 ÷ 2 = 195 with 1 remainder
195 ÷ 2 = 97 with 1 remainder
97 ÷ 2 = 48 with 1 remainder
48 ÷ 2 = 24 with 0 remainder
24 ÷ 2 = 12 with 0 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 C3C8 hexadecimal to binary:

C3C8 hexadecimal = 1100001111001000 binary

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C3C9 hexadecimal to binary
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