FC56 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FC56 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 FC56 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FC56 by 16⁰, multiply the second to last digit in FC56 by 16¹, multiply the third to last digit in FC56 by 16², multiply the fourth to last digit in FC56 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
5 × 16¹ = 80
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:

6 + 80 + 3072 + 61440 = 64598

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.

64598 ÷ 2 = 32299 with 0 remainder
32299 ÷ 2 = 16149 with 1 remainder
16149 ÷ 2 = 8074 with 1 remainder
8074 ÷ 2 = 4037 with 0 remainder
4037 ÷ 2 = 2018 with 1 remainder
2018 ÷ 2 = 1009 with 0 remainder
1009 ÷ 2 = 504 with 1 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 FC56 hexadecimal to binary:

FC56 hexadecimal = 1111110001010110 binary

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FC57 hexadecimal to binary
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