AB1E hexadecimal to binary

Here we will show you how to convert the hexadecimal number AB1E 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 AB1E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AB1E by 16⁰, multiply the second to last digit in AB1E by 16¹, multiply the third to last digit in AB1E by 16², multiply the fourth to last digit in AB1E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
1 × 16¹ = 16
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 + 16 + 2816 + 40960 = 43806

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.

43806 ÷ 2 = 21903 with 0 remainder
21903 ÷ 2 = 10951 with 1 remainder
10951 ÷ 2 = 5475 with 1 remainder
5475 ÷ 2 = 2737 with 1 remainder
2737 ÷ 2 = 1368 with 1 remainder
1368 ÷ 2 = 684 with 0 remainder
684 ÷ 2 = 342 with 0 remainder
342 ÷ 2 = 171 with 0 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 AB1E hexadecimal to binary:

AB1E hexadecimal = 1010101100011110 binary

Hexadecimal to Binary Converter
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AB1F hexadecimal to binary
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