0xFFB

0xFFB 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 0xFFB 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 0xFFB, this would be calculated as follows:

(15 * 16^2) + (15 * 16^1) + (11 * 16^0)

= (15 * 256) + (15 * 16) + (11 * 1)

= 3840 + 240 + 11

= 4091

Thus, 0xFFB in hexadecimal is equivalent to 4091 in decimal. This number is often used in various fields of computer science, including memory addressing, color coding in graphics, and error handling in programming. Its significance lies in its representation of a specific value within the hexadecimal system, which is widely used for its compactness and ease of conversion to binary.