FC94 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FC94 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 FC94 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FC94 by 16⁰, multiply the second to last digit in FC94 by 16¹, multiply the third to last digit in FC94 by 16², multiply the fourth to last digit in FC94 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
9 × 16¹ = 144
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 + 144 + 3072 + 61440 = 64660

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.

64660 ÷ 2 = 32330 with 0 remainder
32330 ÷ 2 = 16165 with 0 remainder
16165 ÷ 2 = 8082 with 1 remainder
8082 ÷ 2 = 4041 with 0 remainder
4041 ÷ 2 = 2020 with 1 remainder
2020 ÷ 2 = 1010 with 0 remainder
1010 ÷ 2 = 505 with 0 remainder
505 ÷ 2 = 252 with 1 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 FC94 hexadecimal to binary:

FC94 hexadecimal = 1111110010010100 binary

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FC95 hexadecimal to binary
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