AB7C hexadecimal to binary

Here we will show you how to convert the hexadecimal number AB7C 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 AB7C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AB7C by 16⁰, multiply the second to last digit in AB7C by 16¹, multiply the third to last digit in AB7C by 16², multiply the fourth to last digit in AB7C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
7 × 16¹ = 112
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:

12 + 112 + 2816 + 40960 = 43900

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.

43900 ÷ 2 = 21950 with 0 remainder
21950 ÷ 2 = 10975 with 0 remainder
10975 ÷ 2 = 5487 with 1 remainder
5487 ÷ 2 = 2743 with 1 remainder
2743 ÷ 2 = 1371 with 1 remainder
1371 ÷ 2 = 685 with 1 remainder
685 ÷ 2 = 342 with 1 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 AB7C hexadecimal to binary:

AB7C hexadecimal = 1010101101111100 binary

Hexadecimal to Binary Converter
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