AEC hexadecimal to binary

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

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

C × 16⁰ = 12
E × 16¹ = 224
A × 16² = 2560

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:

12 + 224 + 2560 = 2796

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.

2796 ÷ 2 = 1398 with 0 remainder
1398 ÷ 2 = 699 with 0 remainder
699 ÷ 2 = 349 with 1 remainder
349 ÷ 2 = 174 with 1 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 AEC hexadecimal to binary:

AEC hexadecimal = 101011101100 binary

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

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