ACA3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number ACA3 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 ACA3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in ACA3 by 16⁰, multiply the second to last digit in ACA3 by 16¹, multiply the third to last digit in ACA3 by 16², multiply the fourth to last digit in ACA3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
A × 16¹ = 160
C × 16² = 3072
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 + 160 + 3072 + 40960 = 44195

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.

44195 ÷ 2 = 22097 with 1 remainder
22097 ÷ 2 = 11048 with 1 remainder
11048 ÷ 2 = 5524 with 0 remainder
5524 ÷ 2 = 2762 with 0 remainder
2762 ÷ 2 = 1381 with 0 remainder
1381 ÷ 2 = 690 with 1 remainder
690 ÷ 2 = 345 with 0 remainder
345 ÷ 2 = 172 with 1 remainder
172 ÷ 2 = 86 with 0 remainder
86 ÷ 2 = 43 with 0 remainder
43 ÷ 2 = 21 with 1 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 ACA3 hexadecimal to binary:

ACA3 hexadecimal = 1010110010100011 binary

Hexadecimal to Binary Converter
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