56AA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 56AA 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 56AA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 56AA by 16⁰, multiply the second to last digit in 56AA by 16¹, multiply the third to last digit in 56AA by 16², multiply the fourth to last digit in 56AA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
A × 16¹ = 160
6 × 16² = 1536
5 × 16³ = 20480

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 + 1536 + 20480 = 22186

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.

22186 ÷ 2 = 11093 with 0 remainder
11093 ÷ 2 = 5546 with 1 remainder
5546 ÷ 2 = 2773 with 0 remainder
2773 ÷ 2 = 1386 with 1 remainder
1386 ÷ 2 = 693 with 0 remainder
693 ÷ 2 = 346 with 1 remainder
346 ÷ 2 = 173 with 0 remainder
173 ÷ 2 = 86 with 1 remainder
86 ÷ 2 = 43 with 0 remainder
43 ÷ 2 = 21 with 1 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 56AA hexadecimal to binary:

56AA hexadecimal = 101011010101010 binary

Hexadecimal to Binary Converter
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56AB hexadecimal to binary
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