AAC3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AAC3 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 AAC3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AAC3 by 16⁰, multiply the second to last digit in AAC3 by 16¹, multiply the third to last digit in AAC3 by 16², multiply the fourth to last digit in AAC3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
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:

3 + 192 + 2560 + 40960 = 43715

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.

43715 ÷ 2 = 21857 with 1 remainder
21857 ÷ 2 = 10928 with 1 remainder
10928 ÷ 2 = 5464 with 0 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 AAC3 hexadecimal to binary:

AAC3 hexadecimal = 1010101011000011 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

AAC4 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.