F4FA hexadecimal to binary

Here we will show you how to convert the hexadecimal number F4FA 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 F4FA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F4FA by 16⁰, multiply the second to last digit in F4FA by 16¹, multiply the third to last digit in F4FA by 16², multiply the fourth to last digit in F4FA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
F × 16¹ = 240
4 × 16² = 1024
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:

10 + 240 + 1024 + 61440 = 62714

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.

62714 ÷ 2 = 31357 with 0 remainder
31357 ÷ 2 = 15678 with 1 remainder
15678 ÷ 2 = 7839 with 0 remainder
7839 ÷ 2 = 3919 with 1 remainder
3919 ÷ 2 = 1959 with 1 remainder
1959 ÷ 2 = 979 with 1 remainder
979 ÷ 2 = 489 with 1 remainder
489 ÷ 2 = 244 with 1 remainder
244 ÷ 2 = 122 with 0 remainder
122 ÷ 2 = 61 with 0 remainder
61 ÷ 2 = 30 with 1 remainder
30 ÷ 2 = 15 with 0 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 F4FA hexadecimal to binary:

F4FA hexadecimal = 1111010011111010 binary

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F4FB hexadecimal to binary
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