Polish Notation Converter
Conversion Result
About Polish Notation
Polish Notation (also known as Prefix Notation) is a mathematical notation in which operators precede their operands. It was invented by the Polish mathematician Jan Łukasiewicz in the 1920s.
Example Conversions:
| Infix Notation | Polish Notation | Explanation |
|---|---|---|
| 3 + 4 | + 3 4 | Operator comes before operands |
| 3 + 4 * 2 | + 3 * 4 2 | Multiplication has higher precedence |
| (3 + 4) * 2 | * + 3 4 2 | Parentheses affect operator order |
Key Features:
- No need for parentheses to specify operation order
- Unambiguous interpretation of expressions
- Easier to evaluate using a stack
- Used in some programming languages (e.g., Lisp)
- Basis for many computer algorithms
Conversion Rules:
- Start with the highest precedence operator
- Place operator before its operands
- Process sub-expressions recursively
- Maintain operator precedence
- Handle parentheses appropriately
Applications:
- Compiler design
- Expression evaluation
- Computer architecture
- Programming language parsing
- Mathematical software
Tips:
- Use spaces between operators and operands
- Check operator precedence
- Verify parentheses matching
- Start with simple expressions
- Practice with different operators
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