
Here we will show you how to convert the hexadecimal number FC0 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 FC0 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in FC0 by 16⁰, multiply the second to last digit in FC0 by 16¹, multiply the third to last digit in FC0 by 16², multiply the fourth to last digit in FC0 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
C × 16¹ = 192
F × 16² = 3840
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:
0 + 192 + 3840 = 4032
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.
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 FC0 hexadecimal to binary:
FC0 hexadecimal = 111111000000 binary
Hexadecimal to Binary Converter
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FC1 hexadecimal to binary
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