0E6E

0E6E is a hexadecimal value. In computing, hexadecimal, often shortened to "hex," is a base-16 numbering system. It uses sixteen distinct symbols, with the ten digits 0 through 9 representing themselves, and the letters A through F representing the values ten through fifteen. Therefore, 0E6E is a representation of a number in this system.

To convert 0E6E from hexadecimal to decimal (base-10), we multiply each digit by its corresponding power of 16 and sum the results. The rightmost digit (E) is in the 16^0 position, the next digit (6) is in the 16^1 position, the next digit (E) is in the 16^2 position, and the leftmost digit (0) is in the 16^3 position.

The calculation is as follows:

(0 * 16^3) + (E * 16^2) + (6 * 16^1) + (E * 16^0)

Since E in hexadecimal represents 14 in decimal, this becomes:

(0 * 4096) + (14 * 256) + (6 * 16) + (14 * 1)

0 + 3584 + 96 + 14

This results in a decimal value of 3694.

Hexadecimal notation is frequently used in computer science, particularly for representing memory addresses, color codes, and machine code. Its advantage lies in its ability to represent binary data more compactly than decimal or binary alone. Two hexadecimal digits can represent a single byte of data, making it a convenient shorthand.