A3AB hexadecimal to binary

Here we will show you how to convert the hexadecimal number A3AB 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 A3AB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A3AB by 16⁰, multiply the second to last digit in A3AB by 16¹, multiply the third to last digit in A3AB by 16², multiply the fourth to last digit in A3AB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
A × 16¹ = 160
3 × 16² = 768
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:

11 + 160 + 768 + 40960 = 41899

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.

41899 ÷ 2 = 20949 with 1 remainder
20949 ÷ 2 = 10474 with 1 remainder
10474 ÷ 2 = 5237 with 0 remainder
5237 ÷ 2 = 2618 with 1 remainder
2618 ÷ 2 = 1309 with 0 remainder
1309 ÷ 2 = 654 with 1 remainder
654 ÷ 2 = 327 with 0 remainder
327 ÷ 2 = 163 with 1 remainder
163 ÷ 2 = 81 with 1 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 A3AB hexadecimal to binary:

A3AB hexadecimal = 1010001110101011 binary

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A3AC hexadecimal to binary
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