FAA6 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FAA6 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 FAA6 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FAA6 by 16⁰, multiply the second to last digit in FAA6 by 16¹, multiply the third to last digit in FAA6 by 16², multiply the fourth to last digit in FAA6 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
A × 16¹ = 160
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:

6 + 160 + 2560 + 61440 = 64166

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.

64166 ÷ 2 = 32083 with 0 remainder
32083 ÷ 2 = 16041 with 1 remainder
16041 ÷ 2 = 8020 with 1 remainder
8020 ÷ 2 = 4010 with 0 remainder
4010 ÷ 2 = 2005 with 0 remainder
2005 ÷ 2 = 1002 with 1 remainder
1002 ÷ 2 = 501 with 0 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 FAA6 hexadecimal to binary:

FAA6 hexadecimal = 1111101010100110 binary

Hexadecimal to Binary Converter
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