Hexadecimal to Decimal Conversion:

To convert a hexadecimal number to decimal, we need to understand the positional value system of hexadecimal numbers.

Hexadecimal numbers are base-16 numbers, meaning they use 16 digits: 0-9 and A-F (where A represents 10, B represents 11, and so on).

Each digit in a hexadecimal number represents a power of 16. The rightmost digit represents 16^0 (which is 1), the second rightmost digit represents 16^1 (which is 16), the third rightmost digit represents 16^2 (which is 256), and so on.

Therefore, to convert a hexadecimal number to decimal, we need to multiply each digit by its corresponding power of 16 and sum them up.

Hexadecimal Number 64AC:

Let's convert the given hexadecimal number 64AC to decimal.

- The rightmost digit, C, represents 12 in decimal.
- The second rightmost digit, A, represents 10 in decimal.
- The third rightmost digit, 4, represents 4 in decimal.
- The leftmost digit, 6, represents 6 in decimal.

Now we multiply each digit by its corresponding power of 16:

6 * 16^3 + 4 * 16^2 + 10 * 16^1 + 12 * 16^0

= 6 * 4096 + 4 * 256 + 10 * 16 + 12 * 1

= 24576 + 1024 + 160 + 12

= 25772

Therefore, the given hexadecimal number 64AC is equivalent to the decimal number 25772.

Answer Explanation:
The correct answer is option 'C' (25772) because it correctly represents the decimal equivalent of the given hexadecimal number 64AC.