A22A hexadecimal to binary

Here we will show you how to convert the hexadecimal number A22A 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 A22A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A22A by 16⁰, multiply the second to last digit in A22A by 16¹, multiply the third to last digit in A22A by 16², multiply the fourth to last digit in A22A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
2 × 16¹ = 32
2 × 16² = 512
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:

10 + 32 + 512 + 40960 = 41514

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.

41514 ÷ 2 = 20757 with 0 remainder
20757 ÷ 2 = 10378 with 1 remainder
10378 ÷ 2 = 5189 with 0 remainder
5189 ÷ 2 = 2594 with 1 remainder
2594 ÷ 2 = 1297 with 0 remainder
1297 ÷ 2 = 648 with 1 remainder
648 ÷ 2 = 324 with 0 remainder
324 ÷ 2 = 162 with 0 remainder
162 ÷ 2 = 81 with 0 remainder
81 ÷ 2 = 40 with 1 remainder
40 ÷ 2 = 20 with 0 remainder
20 ÷ 2 = 10 with 0 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 A22A hexadecimal to binary:

A22A hexadecimal = 1010001000101010 binary

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A22B hexadecimal to binary
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