0xDAFA

0xDAFA is a hexadecimal representation of a number. In computing, hexadecimal (often shortened to hex) is a base-16 numeral system. It uses sixteen distinct symbols, most commonly the digits 0-9 and the letters A-F. Each symbol represents a value from 0 to 15. The prefix "0x" is a common convention used in many programming languages to denote that a number is represented in hexadecimal.

In the case of 0xDAFA, the digits are D, A, F, and A. The letter D represents the decimal value 13, A represents 10, F represents 15, and A represents 10. To convert 0xDAFA to its decimal equivalent, we multiply each digit by the corresponding power of 16 and sum the results. Starting from the rightmost digit:

A (10) * 16^0 = 10 * 1 = 10

F (15) * 16^1 = 15 * 16 = 240

A (10) * 16^2 = 10 * 256 = 2560

D (13) * 16^3 = 13 * 4096 = 53248

Summing these values: 10 + 240 + 2560 + 53248 = 56058. Therefore, 0xDAFA is equivalent to the decimal number 56058. Hexadecimal is frequently used in computing because it provides a more human-readable representation of binary data, as one hexadecimal digit corresponds to exactly four binary digits (bits). This makes it useful for tasks such as memory addressing, color codes, and debugging.