31AA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 31AA 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 31AA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 31AA by 16⁰, multiply the second to last digit in 31AA by 16¹, multiply the third to last digit in 31AA by 16², multiply the fourth to last digit in 31AA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
A × 16¹ = 160
1 × 16² = 256
3 × 16³ = 12288

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 + 256 + 12288 = 12714

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.

12714 ÷ 2 = 6357 with 0 remainder
6357 ÷ 2 = 3178 with 1 remainder
3178 ÷ 2 = 1589 with 0 remainder
1589 ÷ 2 = 794 with 1 remainder
794 ÷ 2 = 397 with 0 remainder
397 ÷ 2 = 198 with 1 remainder
198 ÷ 2 = 99 with 0 remainder
99 ÷ 2 = 49 with 1 remainder
49 ÷ 2 = 24 with 1 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 31AA hexadecimal to binary:

31AA hexadecimal = 11000110101010 binary

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31AB hexadecimal to binary
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