10AA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 10AA 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 10AA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 10AA by 16⁰, multiply the second to last digit in 10AA by 16¹, multiply the third to last digit in 10AA by 16², multiply the fourth to last digit in 10AA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
A × 16¹ = 160
0 × 16² = 0
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:

10 + 160 + 0 + 4096 = 4266

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.

4266 ÷ 2 = 2133 with 0 remainder
2133 ÷ 2 = 1066 with 1 remainder
1066 ÷ 2 = 533 with 0 remainder
533 ÷ 2 = 266 with 1 remainder
266 ÷ 2 = 133 with 0 remainder
133 ÷ 2 = 66 with 1 remainder
66 ÷ 2 = 33 with 0 remainder
33 ÷ 2 = 16 with 1 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 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 10AA hexadecimal to binary:

10AA hexadecimal = 1000010101010 binary

Hexadecimal to Binary Converter
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10AB hexadecimal to binary
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