C988 hexadecimal to binary

Here we will show you how to convert the hexadecimal number C988 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 C988 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C988 by 16⁰, multiply the second to last digit in C988 by 16¹, multiply the third to last digit in C988 by 16², multiply the fourth to last digit in C988 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
8 × 16¹ = 128
9 × 16² = 2304
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 + 128 + 2304 + 49152 = 51592

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.

51592 ÷ 2 = 25796 with 0 remainder
25796 ÷ 2 = 12898 with 0 remainder
12898 ÷ 2 = 6449 with 0 remainder
6449 ÷ 2 = 3224 with 1 remainder
3224 ÷ 2 = 1612 with 0 remainder
1612 ÷ 2 = 806 with 0 remainder
806 ÷ 2 = 403 with 0 remainder
403 ÷ 2 = 201 with 1 remainder
201 ÷ 2 = 100 with 1 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 C988 hexadecimal to binary:

C988 hexadecimal = 1100100110001000 binary

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C989 hexadecimal to binary
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