# Convert the Infix Expression A * (B + C) / D to a Postfix Expression To convert the infix expression `A * (B + C) / D` into postfix notation, we use the following rules: 1. **Operator Precedence**: Parentheses have the highest precedence, followed by multiplication (`*`) and division (`/`), and then addition (`+`). 2. **Associativity**: Operators like `*` and `/` are left-associative, meaning operations are performed left to right if they have the same precedence. 3. **Conversion Rules**: - Operands (like `A`, `B`, `C`, `D`) are output immediately. - Operators are pushed onto a stack. - Parentheses dictate the priority: Solve what's inside the parentheses first. --- ### **Step-by-Step Conversion** #### Infix Expression: `A * (B + C) / D` 1. Start with the subexpression inside the parentheses `(B + C)`: - Convert `B + C` to postfix: `BC+`. 2. Substitute the postfix for `(B + C)` back into the original expression: - The expression becomes `A * BC+ / D`. 3. Process the multiplication (`*`) and division (`/`): - `A * BC+` becomes `ABC+*`. - `ABC+* / D` becomes `ABC+*D/`. --- ### **Final Postfix Expression**: ``` ABC+*D/ ```