Stack•Hard
Infix to Postfix
Infix to Postfix Conversion
Mathematical expressions are written in infix representation (e.g. A + B). Compilers convert them into postfix (e.g. A B +) because postfix can be evaluated easily using a single stack scan, without parenthetical grouping or operator precedence issues.
Operator Rules
- Operand (letters / digits): Directly append / output.
- Left Parenthesis
(: Always push to stack. - Right Parenthesis
): Pop and output until matching(is popped. - *Operator (+, -, , /, ^): Pop and output operators of higher or equal precedence from stack, then push current operator.
Precedence Table
| Operator | Value | Group |
|---|---|---|
^ | 3 | Exponent |
*, / | 2 | Multiplication, Division |
+, - | 1 | Addition, Subtraction |
| Others | -1 | Non-operators |