AC02 hexadecimal to binary




Here we will show you how to convert the hexadecimal number AC02 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 AC02 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AC02 by 16⁰, multiply the second to last digit in AC02 by 16¹, multiply the third to last digit in AC02 by 16², multiply the fourth to last digit in AC02 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
0 × 16¹ = 0
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:

2 + 0 + 3072 + 40960 = 44034

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.

44034 ÷ 2 = 22017 with 0 remainder
22017 ÷ 2 = 11008 with 1 remainder
11008 ÷ 2 = 5504 with 0 remainder
5504 ÷ 2 = 2752 with 0 remainder
2752 ÷ 2 = 1376 with 0 remainder
1376 ÷ 2 = 688 with 0 remainder
688 ÷ 2 = 344 with 0 remainder
344 ÷ 2 = 172 with 0 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 AC02 hexadecimal to binary:

AC02 hexadecimal = 1010110000000010 binary


Hexadecimal to Binary Converter
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AC03 hexadecimal to binary
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