A072 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A072 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 A072 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A072 by 16⁰, multiply the second to last digit in A072 by 16¹, multiply the third to last digit in A072 by 16², multiply the fourth to last digit in A072 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
7 × 16¹ = 112
0 × 16² = 0
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 + 112 + 0 + 40960 = 41074

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.

41074 ÷ 2 = 20537 with 0 remainder
20537 ÷ 2 = 10268 with 1 remainder
10268 ÷ 2 = 5134 with 0 remainder
5134 ÷ 2 = 2567 with 0 remainder
2567 ÷ 2 = 1283 with 1 remainder
1283 ÷ 2 = 641 with 1 remainder
641 ÷ 2 = 320 with 1 remainder
320 ÷ 2 = 160 with 0 remainder
160 ÷ 2 = 80 with 0 remainder
80 ÷ 2 = 40 with 0 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 A072 hexadecimal to binary:

A072 hexadecimal = 1010000001110010 binary

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A073 hexadecimal to binary
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