8CFC hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8CFC 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 8CFC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8CFC by 16⁰, multiply the second to last digit in 8CFC by 16¹, multiply the third to last digit in 8CFC by 16², multiply the fourth to last digit in 8CFC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
F × 16¹ = 240
C × 16² = 3072
8 × 16³ = 32768

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:

12 + 240 + 3072 + 32768 = 36092

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.

36092 ÷ 2 = 18046 with 0 remainder
18046 ÷ 2 = 9023 with 0 remainder
9023 ÷ 2 = 4511 with 1 remainder
4511 ÷ 2 = 2255 with 1 remainder
2255 ÷ 2 = 1127 with 1 remainder
1127 ÷ 2 = 563 with 1 remainder
563 ÷ 2 = 281 with 1 remainder
281 ÷ 2 = 140 with 1 remainder
140 ÷ 2 = 70 with 0 remainder
70 ÷ 2 = 35 with 0 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 8CFC hexadecimal to binary:

8CFC hexadecimal = 1000110011111100 binary

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