0x3A4B

0x3A4B 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 0x3A4B can be converted to decimal by evaluating each digit's contribution to the total value. Starting from the rightmost digit (least significant), each digit is multiplied by 16 raised to the power of its position index, starting from 0. For 0x3A4B, this conversion would be calculated as follows:

(3 * 16^3) + (10 * 16^2) + (4 * 16^1) + (11 * 16^0)

This simplifies to:

(3 * 4096) + (10 * 256) + (4 * 16) + (11 * 1)

Which equals:

12288 + 2560 + 64 + 11

Adding these values together gives the decimal equivalent of 0x3A4B, which is 14943.

Hexadecimal is widely used in computer science for representing binary-coded values in a more human-readable form. It is particularly useful in fields such as programming, digital electronics, and data storage, where it provides a compact and efficient way to express large binary numbers.