0x2421

0x2421 is a hexadecimal number. In decimal representation, it is equal to 9761. The prefix "0x" is a common convention used in programming and computing to indicate that the number that follows is expressed in base 16, or hexadecimal. Hexadecimal notation is often used because it provides a more human-readable representation of binary-coded values than raw binary. Each hexadecimal digit corresponds to exactly four binary digits (bits).

The number 0x2421 can be broken down into its hexadecimal digits: 2, 4, 2, and 1. In base 16, the digits are 0-9 and A-F, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15. In this case, all digits are within the 0-9 range.

To convert 0x2421 to decimal, we use the positional values of each digit:

(2 * 16^3) + (4 * 16^2) + (2 * 16^1) + (1 * 16^0)

= (2 * 4096) + (4 * 256) + (2 * 16) + (1 * 1)

= 8192 + 1024 + 32 + 1

= 9249

Therefore, 0x2421 in hexadecimal is equivalent to 9249 in decimal. This notation is frequently encountered in various computing contexts, such as memory addresses, color codes (though typically using 6 digits, e.g., 0xFF0000 for red), and data representation.