0x8CAC

0x8CAC is a hexadecimal number. In computing, hexadecimal, often shortened to "hex," is a base-16 numeral system. It uses sixteen distinct symbols, with the ten digits 0-9 and the letters A-F representing values 10-15. Therefore, 0x8CAC translates to a specific numerical value when converted to other bases. In the decimal (base-10) system, 0x8CAC is equal to 35500. This conversion is performed by multiplying each digit by its corresponding power of 16 and summing the results: (8 * 16^3) + (11 * 16^2) + (12 * 16^1) + (12 * 16^0) = 32768 + 2816 + 192 + 12 = 35500. In binary (base-2), 0x8CAC would be represented by a sequence of 0s and 1s, and in octal (base-8) by a sequence of digits from 0-7. Hexadecimal notation is commonly used in computer science and digital electronics due to its convenient representation of binary data, as each hexadecimal digit can represent four binary digits (a nibble). For instance, 0x8 is 1000 in binary, 0xC is 1100 in binary. Thus, 0x8CAC in binary is 1000110011001100. The prefix "0x" is a common convention used to indicate that a number is represented in hexadecimal.