ABB2 hexadecimal to binary

Here we will show you how to convert the hexadecimal number ABB2 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 ABB2 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in ABB2 by 16⁰, multiply the second to last digit in ABB2 by 16¹, multiply the third to last digit in ABB2 by 16², multiply the fourth to last digit in ABB2 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
B × 16¹ = 176
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:

2 + 176 + 2816 + 40960 = 43954

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.

43954 ÷ 2 = 21977 with 0 remainder
21977 ÷ 2 = 10988 with 1 remainder
10988 ÷ 2 = 5494 with 0 remainder
5494 ÷ 2 = 2747 with 0 remainder
2747 ÷ 2 = 1373 with 1 remainder
1373 ÷ 2 = 686 with 1 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 ABB2 hexadecimal to binary:

ABB2 hexadecimal = 1010101110110010 binary

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ABB3 hexadecimal to binary
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