A3AE hexadecimal to binary

Here we will show you how to convert the hexadecimal number A3AE 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 A3AE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A3AE by 16⁰, multiply the second to last digit in A3AE by 16¹, multiply the third to last digit in A3AE by 16², multiply the fourth to last digit in A3AE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
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:

14 + 160 + 768 + 40960 = 41902

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.

41902 ÷ 2 = 20951 with 0 remainder
20951 ÷ 2 = 10475 with 1 remainder
10475 ÷ 2 = 5237 with 1 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 A3AE hexadecimal to binary:

A3AE hexadecimal = 1010001110101110 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

A3AF hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.