0x3E1B

0x3E1B is a hexadecimal number, which is a base-16 numeral system commonly used in computing and digital electronics. In hexadecimal, the digits range from 0 to 9 and then from A to F, where A represents 10, B represents 11, and so on up to F, which represents 15 in decimal. The prefix "0x" is used to denote a hexadecimal number in programming and digital contexts.

The hexadecimal number 0x3E1B 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 0x3E1B, this conversion would be calculated as follows:

(3 * 16^3) + (E * 16^2) + (1 * 16^1) + (B * 16^0)

Where E and B represent their respective decimal values (14 and 11, respectively). Performing the calculation:

(3 * 4096) + (14 * 256) + (1 * 16) + (11 * 1) = 12288 + 3584 + 16 + 11 = 15899

Thus, 0x3E1B in hexadecimal is equivalent to 15899 in decimal. Hexadecimal is particularly useful in fields such as computer programming, digital electronics, and data storage because it provides a more human-friendly representation of binary-coded values.