AB77 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AB77 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 AB77 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AB77 by 16⁰, multiply the second to last digit in AB77 by 16¹, multiply the third to last digit in AB77 by 16², multiply the fourth to last digit in AB77 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
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:

7 + 112 + 2816 + 40960 = 43895

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.

43895 ÷ 2 = 21947 with 1 remainder
21947 ÷ 2 = 10973 with 1 remainder
10973 ÷ 2 = 5486 with 1 remainder
5486 ÷ 2 = 2743 with 0 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 AB77 hexadecimal to binary:

AB77 hexadecimal = 1010101101110111 binary

Hexadecimal to Binary Converter
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