ABAA hexadecimal to binary

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

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

A × 16⁰ = 10
A × 16¹ = 160
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:

10 + 160 + 2816 + 40960 = 43946

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.

43946 ÷ 2 = 21973 with 0 remainder
21973 ÷ 2 = 10986 with 1 remainder
10986 ÷ 2 = 5493 with 0 remainder
5493 ÷ 2 = 2746 with 1 remainder
2746 ÷ 2 = 1373 with 0 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 ABAA hexadecimal to binary:

ABAA hexadecimal = 1010101110101010 binary

Hexadecimal to Binary Converter
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ABAB hexadecimal to binary
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