AE3E hexadecimal to binary

Here we will show you how to convert the hexadecimal number AE3E 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 AE3E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AE3E by 16⁰, multiply the second to last digit in AE3E by 16¹, multiply the third to last digit in AE3E by 16², multiply the fourth to last digit in AE3E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
3 × 16¹ = 48
E × 16² = 3584
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 + 48 + 3584 + 40960 = 44606

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.

44606 ÷ 2 = 22303 with 0 remainder
22303 ÷ 2 = 11151 with 1 remainder
11151 ÷ 2 = 5575 with 1 remainder
5575 ÷ 2 = 2787 with 1 remainder
2787 ÷ 2 = 1393 with 1 remainder
1393 ÷ 2 = 696 with 1 remainder
696 ÷ 2 = 348 with 0 remainder
348 ÷ 2 = 174 with 0 remainder
174 ÷ 2 = 87 with 0 remainder
87 ÷ 2 = 43 with 1 remainder
43 ÷ 2 = 21 with 1 remainder
21 ÷ 2 = 10 with 1 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 AE3E hexadecimal to binary:

AE3E hexadecimal = 1010111000111110 binary

Hexadecimal to Binary Converter
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AE3F hexadecimal to binary
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