FC04 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FC04 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 FC04 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FC04 by 16⁰, multiply the second to last digit in FC04 by 16¹, multiply the third to last digit in FC04 by 16², multiply the fourth to last digit in FC04 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
0 × 16¹ = 0
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:

4 + 0 + 3072 + 61440 = 64516

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.

64516 ÷ 2 = 32258 with 0 remainder
32258 ÷ 2 = 16129 with 0 remainder
16129 ÷ 2 = 8064 with 1 remainder
8064 ÷ 2 = 4032 with 0 remainder
4032 ÷ 2 = 2016 with 0 remainder
2016 ÷ 2 = 1008 with 0 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 FC04 hexadecimal to binary:

FC04 hexadecimal = 1111110000000100 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

FC05 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.