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Polish Notation and RPN Calculator — result sheet
Convert a bounded arithmetic expression from infix form to prefix Polish notation and postfix reverse Polish notation, then evaluate it without executing arbitrary code.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Operator precedence and associativity convert infix tokens to postfix with a stack; the resulting expression tree produces prefix notation and a stack evaluation.
Infix notation puts operators between operands, while Polish notation puts operators before them and reverse Polish notation puts them after them. This calculator converts a small explicit arithmetic language and shows the representations without using eval or accepting code.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Arithmetic expression — Use finite numbers, parentheses, +, −, ×, ÷, and ^. No variables or functions.
Worked example
| Input | Value |
|---|---|
| Arithmetic expression | 3 + 4 * 2 ^ 2 |
Postfix = 3 4 2 2 ^ * +; prefix = + 3 * 4 ^ 2 2; value = 19.
Assumptions and limits
- The expression contains finite numeric literals, parentheses, binary +, −, ×, ÷, exponentiation, and unary signs.
- Exponentiation and unary signs use the declared precedence model and exponentiation is right-associative.
- Implicit multiplication, variables, functions, commas, assignment, and comparisons are rejected.
- Division by zero and non-finite real results are rejected.
- The expression is limited to 240 characters and 40 tokens for predictable browser calculation.
- Prefix and postfix strings describe the parsed expression tree; they are not executable code.
- Real arithmetic follows ordinary finite-number behavior and may round decimal results.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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