FC42 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FC42 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 FC42 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FC42 by 16⁰, multiply the second to last digit in FC42 by 16¹, multiply the third to last digit in FC42 by 16², multiply the fourth to last digit in FC42 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
4 × 16¹ = 64
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:

2 + 64 + 3072 + 61440 = 64578

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.

64578 ÷ 2 = 32289 with 0 remainder
32289 ÷ 2 = 16144 with 1 remainder
16144 ÷ 2 = 8072 with 0 remainder
8072 ÷ 2 = 4036 with 0 remainder
4036 ÷ 2 = 2018 with 0 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 FC42 hexadecimal to binary:

FC42 hexadecimal = 1111110001000010 binary

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FC43 hexadecimal to binary
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