4AAF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4AAF 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 4AAF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4AAF by 16⁰, multiply the second to last digit in 4AAF by 16¹, multiply the third to last digit in 4AAF by 16², multiply the fourth to last digit in 4AAF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
A × 16¹ = 160
A × 16² = 2560
4 × 16³ = 16384

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 + 16384 = 19119

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.

19119 ÷ 2 = 9559 with 1 remainder
9559 ÷ 2 = 4779 with 1 remainder
4779 ÷ 2 = 2389 with 1 remainder
2389 ÷ 2 = 1194 with 1 remainder
1194 ÷ 2 = 597 with 0 remainder
597 ÷ 2 = 298 with 1 remainder
298 ÷ 2 = 149 with 0 remainder
149 ÷ 2 = 74 with 1 remainder
74 ÷ 2 = 37 with 0 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 4AAF hexadecimal to binary:

4AAF hexadecimal = 100101010101111 binary

Hexadecimal to Binary Converter
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