AAFB hexadecimal to binary

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

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

B × 16⁰ = 11
F × 16¹ = 240
A × 16² = 2560
A × 16³ = 40960

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:

11 + 240 + 2560 + 40960 = 43771

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.

43771 ÷ 2 = 21885 with 1 remainder
21885 ÷ 2 = 10942 with 1 remainder
10942 ÷ 2 = 5471 with 0 remainder
5471 ÷ 2 = 2735 with 1 remainder
2735 ÷ 2 = 1367 with 1 remainder
1367 ÷ 2 = 683 with 1 remainder
683 ÷ 2 = 341 with 1 remainder
341 ÷ 2 = 170 with 1 remainder
170 ÷ 2 = 85 with 0 remainder
85 ÷ 2 = 42 with 1 remainder
42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 AAFB hexadecimal to binary:

AAFB hexadecimal = 1010101011111011 binary

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AAFC hexadecimal to binary
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