A7A2 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A7A2 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 A7A2 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A7A2 by 16⁰, multiply the second to last digit in A7A2 by 16¹, multiply the third to last digit in A7A2 by 16², multiply the fourth to last digit in A7A2 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
A × 16¹ = 160
7 × 16² = 1792
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:

2 + 160 + 1792 + 40960 = 42914

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.

42914 ÷ 2 = 21457 with 0 remainder
21457 ÷ 2 = 10728 with 1 remainder
10728 ÷ 2 = 5364 with 0 remainder
5364 ÷ 2 = 2682 with 0 remainder
2682 ÷ 2 = 1341 with 0 remainder
1341 ÷ 2 = 670 with 1 remainder
670 ÷ 2 = 335 with 0 remainder
335 ÷ 2 = 167 with 1 remainder
167 ÷ 2 = 83 with 1 remainder
83 ÷ 2 = 41 with 1 remainder
41 ÷ 2 = 20 with 1 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 A7A2 hexadecimal to binary:

A7A2 hexadecimal = 1010011110100010 binary

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A7A3 hexadecimal to binary
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