Hexa Decimal Number System

The hexadecimal (hex) number system is a positional numeral system that uses a base of 16, which means that it uses 16 distinct symbols (0 to 9, and A to F) to represent numbers. Each digit in a hex number represents a power of 16, starting with 16^0 on the right and increasing by a power of 16 for each position to the left. 


For example, the hex number 2A5B can be broken down as follows:


2A5B = (2 × 16³) + (10 × 16²) + (5 × 16¹) + (11 × 16⁰) 

= (2 × 4096) + (10 × 256) + (5 × 16) + (11 × 1)

= 10,747


Hexadecimal is commonly used in computer programming, as it can represent binary numbers (base 2) more efficiently. Each hex digit can represent 4 bits (half a byte), so a byte (8 bits) can be represented by two hex digits. For example, the binary number 11100101 can be represented in hex as E5 (where E represents the value 14 and 5 represents the value 5).

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