F1AE hexadecimal to binary

Here we will show you how to convert the hexadecimal number F1AE 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 F1AE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F1AE by 16⁰, multiply the second to last digit in F1AE by 16¹, multiply the third to last digit in F1AE by 16², multiply the fourth to last digit in F1AE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
A × 16¹ = 160
1 × 16² = 256
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:

14 + 160 + 256 + 61440 = 61870

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.

61870 ÷ 2 = 30935 with 0 remainder
30935 ÷ 2 = 15467 with 1 remainder
15467 ÷ 2 = 7733 with 1 remainder
7733 ÷ 2 = 3866 with 1 remainder
3866 ÷ 2 = 1933 with 0 remainder
1933 ÷ 2 = 966 with 1 remainder
966 ÷ 2 = 483 with 0 remainder
483 ÷ 2 = 241 with 1 remainder
241 ÷ 2 = 120 with 1 remainder
120 ÷ 2 = 60 with 0 remainder
60 ÷ 2 = 30 with 0 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 F1AE hexadecimal to binary:

F1AE hexadecimal = 1111000110101110 binary

Hexadecimal to Binary Converter
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F1AF hexadecimal to binary
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