AACC hexadecimal to binary

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

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

C × 16⁰ = 12
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:

12 + 192 + 2560 + 40960 = 43724

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.

43724 ÷ 2 = 21862 with 0 remainder
21862 ÷ 2 = 10931 with 0 remainder
10931 ÷ 2 = 5465 with 1 remainder
5465 ÷ 2 = 2732 with 1 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 AACC hexadecimal to binary:

AACC hexadecimal = 1010101011001100 binary

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

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