1AAF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1AAF 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 1AAF from hexadecimal to binary are explained below.

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

F × 16⁰ = 15
A × 16¹ = 160
A × 16² = 2560
1 × 16³ = 4096

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:

15 + 160 + 2560 + 4096 = 6831

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.

6831 ÷ 2 = 3415 with 1 remainder
3415 ÷ 2 = 1707 with 1 remainder
1707 ÷ 2 = 853 with 1 remainder
853 ÷ 2 = 426 with 1 remainder
426 ÷ 2 = 213 with 0 remainder
213 ÷ 2 = 106 with 1 remainder
106 ÷ 2 = 53 with 0 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 1AAF hexadecimal to binary:

1AAF hexadecimal = 1101010101111 binary

Hexadecimal to Binary Converter
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