FC21 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FC21 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 FC21 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FC21 by 16⁰, multiply the second to last digit in FC21 by 16¹, multiply the third to last digit in FC21 by 16², multiply the fourth to last digit in FC21 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
2 × 16¹ = 32
C × 16² = 3072
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:

1 + 32 + 3072 + 61440 = 64545

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.

64545 ÷ 2 = 32272 with 1 remainder
32272 ÷ 2 = 16136 with 0 remainder
16136 ÷ 2 = 8068 with 0 remainder
8068 ÷ 2 = 4034 with 0 remainder
4034 ÷ 2 = 2017 with 0 remainder
2017 ÷ 2 = 1008 with 1 remainder
1008 ÷ 2 = 504 with 0 remainder
504 ÷ 2 = 252 with 0 remainder
252 ÷ 2 = 126 with 0 remainder
126 ÷ 2 = 63 with 0 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 FC21 hexadecimal to binary:

FC21 hexadecimal = 1111110000100001 binary

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FC22 hexadecimal to binary
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