Scientific Math Expression Evaluator
Parse and evaluate complex mathematical expressions with nested parentheses. visualizes operation order (PEMDAS/BODMAS) to prevent syntax errors.
About
Evaluating complex arithmetic strings requires strict adherence to the Order of Operations (PEMDAS/BODMAS). A single misplaced parenthesis or misinterpreted operator precedence can drastically alter the result. This is critical in coding, engineering formulas, and scientific data entry.
This evaluator parses raw mathematical text strings, breaking them down into a syntax tree. It handles nested parentheses ((...)), powers ^, and standard arithmetic, providing an instant, accurate result alongside a visualization of how the computer interprets your input.
Formulas
The calculator uses the Shunting-yard algorithm to convert infix notation (standard) to Reverse Polish Notation (RPN) for processing.
Example: 3 + 4 × 2
Correct Logic: 3 + (4 × 2) = 11
Incorrect Logic: (3 + 4) × 2 = 14
Reference Data
| Operator | Precedence | Associativity |
|---|---|---|
| ( ) | 1 | - |
| ^ (Power) | 2 | Right-to-Left |
| × / ÷ | 3 | Left-to-Right |
| + / − | 4 | Left-to-Right |