AA8B hexadecimal to binary

Here we will show you how to convert the hexadecimal number AA8B 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 AA8B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AA8B by 16⁰, multiply the second to last digit in AA8B by 16¹, multiply the third to last digit in AA8B by 16², multiply the fourth to last digit in AA8B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
8 × 16¹ = 128
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 + 128 + 2560 + 40960 = 43659

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.

43659 ÷ 2 = 21829 with 1 remainder
21829 ÷ 2 = 10914 with 1 remainder
10914 ÷ 2 = 5457 with 0 remainder
5457 ÷ 2 = 2728 with 1 remainder
2728 ÷ 2 = 1364 with 0 remainder
1364 ÷ 2 = 682 with 0 remainder
682 ÷ 2 = 341 with 0 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 AA8B hexadecimal to binary:

AA8B hexadecimal = 1010101010001011 binary

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