AA25 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AA25 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 AA25 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AA25 by 16⁰, multiply the second to last digit in AA25 by 16¹, multiply the third to last digit in AA25 by 16², multiply the fourth to last digit in AA25 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
2 × 16¹ = 32
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:

5 + 32 + 2560 + 40960 = 43557

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.

43557 ÷ 2 = 21778 with 1 remainder
21778 ÷ 2 = 10889 with 0 remainder
10889 ÷ 2 = 5444 with 1 remainder
5444 ÷ 2 = 2722 with 0 remainder
2722 ÷ 2 = 1361 with 0 remainder
1361 ÷ 2 = 680 with 1 remainder
680 ÷ 2 = 340 with 0 remainder
340 ÷ 2 = 170 with 0 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 AA25 hexadecimal to binary:

AA25 hexadecimal = 1010101000100101 binary

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AA26 hexadecimal to binary
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