Base-N Arithmetic Calculator
A base-N calculator performs arithmetic operations directly in any number base from 2 (binary) to 36. Instead of converting to decimal, calculating, and converting back, this tool works natively in the chosen base, making it ideal for computer science, digital electronics, and mathematics.
Common Number Bases
- Binary (Base 2): Uses 0 and 1. The foundation of all digital computing.
- Octal (Base 8): Uses 0-7. Historically used in computing as a shorthand for binary.
- Decimal (Base 10): Uses 0-9. The standard number system for everyday use.
- Hexadecimal (Base 16): Uses 0-9 and A-F. Widely used in programming for memory addresses, colors, and byte values.
How Base-N Arithmetic Works
Arithmetic in any base follows the same rules as decimal arithmetic but carries over at the base value instead of 10. For example, in binary, 1 + 1 = 10 (carrying the 1), just as in decimal, 9 + 1 = 10.
Frequently Asked Questions
What digits are valid for each base?
Each base uses digits from 0 up to base-1. For bases above 10, letters A-Z represent values 10-35. For example, hexadecimal uses 0-9 and A-F.
Can I use this calculator for floating-point numbers?
This calculator handles integer arithmetic only. For fractional base conversion, consider using a dedicated base converter tool.