Hexadecimal Calculation
The hexadecimal numeral system (base-16) is widely used in computing and digital electronics. It uses sixteen distinct symbols: the numbers 0-9 and the letters A-F to represent values from 0 to 15.
Why use Hexadecimal?
Hexadecimal provides a human-friendly representation of binary-coded values. One hexadecimal digit represents a nibble (4 bits), which is half of an octet or byte (8 bits). For example, a single byte can have values ranging from 00000000 to 11111111 in binary form, which can be more conveniently represented as 00 to FF in hexadecimal.
Hex Arithmetic
Performing arithmetic in hexadecimal follows the same rules as the decimal system, but with base 16.
For example, in hex addition, if the sum of two digits is greater than 15, a carry is propagated to
the next position.
Example: A (10) + B (11) = 15 (21). In hex: 15 (which represents 1*16 + 5 = 21).