Perform arithmetic on hexadecimal numbers with conversion to decimal and binary
This hex calculator performs arithmetic operations on hexadecimal (base 16) numbers. It validates that inputs contain only valid hex characters (0-9, A-F) and displays results in hex, decimal, and binary formats for complete cross-referencing.
Hexadecimal uses 16 digits: 0-9 represent values 0-9, and A-F represent values 10-15. It is widely used in computing as a human-friendly representation of binary-coded values. Each hex digit corresponds to exactly four binary digits (bits).
Hexadecimal provides a more compact and readable way to represent binary data. One hex digit represents 4 bits, so an 8-bit byte can be written as just two hex digits (e.g., FF for 255). This makes hex ideal for memory addresses, color codes, and machine code.
Multiply each hex digit by 16 raised to its position power (starting from 0 at the right). For example, 2F₁₆ = 2×16 + 15×1 = 47. Letters A-F represent values 10-15 respectively.