FE8C hexadecimal to binary

Here we will show you how to convert the hexadecimal number FE8C 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 FE8C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FE8C by 16⁰, multiply the second to last digit in FE8C by 16¹, multiply the third to last digit in FE8C by 16², multiply the fourth to last digit in FE8C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
8 × 16¹ = 128
E × 16² = 3584
F × 16³ = 61440

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 + 128 + 3584 + 61440 = 65164

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.

65164 ÷ 2 = 32582 with 0 remainder
32582 ÷ 2 = 16291 with 0 remainder
16291 ÷ 2 = 8145 with 1 remainder
8145 ÷ 2 = 4072 with 1 remainder
4072 ÷ 2 = 2036 with 0 remainder
2036 ÷ 2 = 1018 with 0 remainder
1018 ÷ 2 = 509 with 0 remainder
509 ÷ 2 = 254 with 1 remainder
254 ÷ 2 = 127 with 0 remainder
127 ÷ 2 = 63 with 1 remainder
63 ÷ 2 = 31 with 1 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 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 FE8C hexadecimal to binary:

FE8C hexadecimal = 1111111010001100 binary

Hexadecimal to Binary Converter
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