AAC4 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AAC4 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 AAC4 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AAC4 by 16⁰, multiply the second to last digit in AAC4 by 16¹, multiply the third to last digit in AAC4 by 16², multiply the fourth to last digit in AAC4 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
C × 16¹ = 192
A × 16² = 2560
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:

4 + 192 + 2560 + 40960 = 43716

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.

43716 ÷ 2 = 21858 with 0 remainder
21858 ÷ 2 = 10929 with 0 remainder
10929 ÷ 2 = 5464 with 1 remainder
5464 ÷ 2 = 2732 with 0 remainder
2732 ÷ 2 = 1366 with 0 remainder
1366 ÷ 2 = 683 with 0 remainder
683 ÷ 2 = 341 with 1 remainder
341 ÷ 2 = 170 with 1 remainder
170 ÷ 2 = 85 with 0 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 AAC4 hexadecimal to binary:

AAC4 hexadecimal = 1010101011000100 binary

Hexadecimal to Binary Converter
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