FCAF hexadecimal to binary

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

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

F × 16⁰ = 15
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:

15 + 160 + 3072 + 61440 = 64687

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.

64687 ÷ 2 = 32343 with 1 remainder
32343 ÷ 2 = 16171 with 1 remainder
16171 ÷ 2 = 8085 with 1 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 FCAF hexadecimal to binary:

FCAF hexadecimal = 1111110010101111 binary

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