AB8E hexadecimal to binary

Here we will show you how to convert the hexadecimal number AB8E 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 AB8E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AB8E by 16⁰, multiply the second to last digit in AB8E by 16¹, multiply the third to last digit in AB8E by 16², multiply the fourth to last digit in AB8E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
8 × 16¹ = 128
B × 16² = 2816
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 + 128 + 2816 + 40960 = 43918

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.

43918 ÷ 2 = 21959 with 0 remainder
21959 ÷ 2 = 10979 with 1 remainder
10979 ÷ 2 = 5489 with 1 remainder
5489 ÷ 2 = 2744 with 1 remainder
2744 ÷ 2 = 1372 with 0 remainder
1372 ÷ 2 = 686 with 0 remainder
686 ÷ 2 = 343 with 0 remainder
343 ÷ 2 = 171 with 1 remainder
171 ÷ 2 = 85 with 1 remainder
85 ÷ 2 = 42 with 1 remainder
42 ÷ 2 = 21 with 0 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 AB8E hexadecimal to binary:

AB8E hexadecimal = 1010101110001110 binary

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

AB8F hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.