FCA8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FCA8 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 FCA8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FCA8 by 16⁰, multiply the second to last digit in FCA8 by 16¹, multiply the third to last digit in FCA8 by 16², multiply the fourth to last digit in FCA8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
A × 16¹ = 160
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:

8 + 160 + 3072 + 61440 = 64680

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.

64680 ÷ 2 = 32340 with 0 remainder
32340 ÷ 2 = 16170 with 0 remainder
16170 ÷ 2 = 8085 with 0 remainder
8085 ÷ 2 = 4042 with 1 remainder
4042 ÷ 2 = 2021 with 0 remainder
2021 ÷ 2 = 1010 with 1 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 FCA8 hexadecimal to binary:

FCA8 hexadecimal = 1111110010101000 binary

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FCA9 hexadecimal to binary
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