Perform hexadecimal operations and convert to/from decimal and binary.
Overview
Hexadecimal is base 16 and maps cleanly to binary because each hex digit corresponds to exactly four bits. This makes hex ideal for debugging memory, colors, and low-level protocol values.
Developers often need fast conversion between hex, binary, and decimal while reading logs, packets, and machine-level outputs. Manual conversion is possible but error-prone under time pressure.
This calculator supports arithmetic and base conversion so you can validate results quickly. It also improves understanding of positional weights and overflow behavior in fixed-width values.
Steps
Choose arithmetic or conversion workflow.
Use digits 0-9 and letters A-F.
The tool computes results in base 16.
Inspect decimal and binary equivalents for verification.
Use output for memory offsets, color codes, or registers.
Math
Decimal value = sum(d_i x 16^i), where d_i in [0..15]
Hex positional notation assigns each digit a place weight of 16^i. Arithmetic follows place-value logic with carry or borrow at base 16.
Worked cases
1A3 + 0F7 = 29A
Sum = 29A (666 decimal).
7x16 + 11
Decimal = 123.
255 = 15x16 + 15
Hex = FF.
Why use this
Questions