0x1FA6

0x1FA6 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 0x1FA6 can be converted to decimal by evaluating each digit's contribution to the total value. Starting from the rightmost digit, each position represents a power of 16. The rightmost digit (6) is in the 16^0 position, the next digit (A, which is 10 in decimal) is in the 16^1 position, and the leftmost digit (1) is in the 16^3 position. Therefore, the decimal equivalent of 0x1FA6 is calculated as follows:

(1 * 16^3) + (10 * 16^1) + (6 * 16^0)

= (1 * 4096) + (10 * 16) + (6 * 1)

= 4096 + 160 + 6

= 4262

Thus, 0x1FA6 in hexadecimal is equivalent to 4262 in decimal. Hexadecimal is widely used in computer science for representing binary-coded values in a more human-readable form, particularly in areas such as memory addressing, color coding in web design, and digital signal processing.