0x2689

0x2689 is a hexadecimal number, which is a base-16 numeral system used in computing and digital electronics. In hexadecimal, the digits range from 0 to 9 and the letters A to F, where A represents 10, B represents 11, and so on up to F, which represents 15. The prefix "0x" is commonly used to denote a hexadecimal number in programming and digital contexts.

The hexadecimal number 0x2689 can be converted to decimal by evaluating each digit's contribution to the total value. Starting from the rightmost digit, each digit is multiplied by 16 raised to the power of its position index (starting from 0). For 0x2689, this would be calculated as follows:

(2 * 16^3) + (6 * 16^2) + (8 * 16^1) + (9 * 16^0)

This simplifies to:

(2 * 4096) + (6 * 256) + (8 * 16) + (9 * 1)

Which equals:

8192 + 1536 + 128 + 9 = 9865

Therefore, the decimal equivalent of the hexadecimal number 0x2689 is 9865. Hexadecimal is often used in computing because it provides a more human-friendly representation of binary-coded values, making it easier to read and write large binary numbers.