1.2 KiB
Executable File
1.2 KiB
Executable File
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:
- Operator Precedence: Parentheses have the highest precedence, followed by multiplication (
*) and division (/), and then addition (+). - Associativity: Operators like
*and/are left-associative, meaning operations are performed left to right if they have the same precedence. - 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.
- Operands (like
Step-by-Step Conversion
Infix Expression: A * (B + C) / D
-
Start with the subexpression inside the parentheses
(B + C):- Convert
B + Cto postfix:BC+.
- Convert
-
Substitute the postfix for
(B + C)back into the original expression:- The expression becomes
A * BC+ / D.
- The expression becomes
-
Process the multiplication (
*) and division (/):A * BC+becomesABC+*.ABC+* / DbecomesABC+*D/.
Final Postfix Expression:
ABC+*D/