FACC hexadecimal to binary

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

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

C × 16⁰ = 12
C × 16¹ = 192
A × 16² = 2560
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:

12 + 192 + 2560 + 61440 = 64204

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.

64204 ÷ 2 = 32102 with 0 remainder
32102 ÷ 2 = 16051 with 0 remainder
16051 ÷ 2 = 8025 with 1 remainder
8025 ÷ 2 = 4012 with 1 remainder
4012 ÷ 2 = 2006 with 0 remainder
2006 ÷ 2 = 1003 with 0 remainder
1003 ÷ 2 = 501 with 1 remainder
501 ÷ 2 = 250 with 1 remainder
250 ÷ 2 = 125 with 0 remainder
125 ÷ 2 = 62 with 1 remainder
62 ÷ 2 = 31 with 0 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 FACC hexadecimal to binary:

FACC hexadecimal = 1111101011001100 binary

Hexadecimal to Binary Converter
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