The postfix form of the expression (A + B) * (C * D - E) * F / G is _______.

Correct option is C

To convert an infix expression to postfix, follow these steps:
1. Understand the precedence of operators:
· Parentheses: Highest precedence
· Multiplication (*) and Division (/): Higher than Addition (+) and Subtraction (-)
· Operators with the same precedence are evaluated from left to right.
2. Break down the expression into smaller parts: The given infix expression is:
(A + B) * (C * D - E) * F / G
Step 1: Convert (A + B):
· Postfix: A B +
Step 2: Convert (C * D - E):
· Postfix: C D * E -
Step 3: Combine (A + B) and (C * D - E) using *:
· Postfix: A B + C D * E - *
Step 4: Multiply the above result by F:
· Postfix: A B + C D * E - * F *
Step 5: Divide the result by G:
· Postfix: A B + C D * E - * F * G /
Information Booster
1. Steps for Converting Infix to Postfix:
· Use an operator stack and an output list.
· Push operators to the stack while maintaining precedence and associativity.
· Move operands (letters, numbers) directly to the output list.
2. Operator Precedence:
· * and / have higher precedence than + and -.
· Parentheses override precedence and force certain operations to execute first.
3. Advantages of Postfix Notation:
· No need for parentheses to specify the order of operations.
· Simplifies evaluation using a stack-based approach.
Additional Knowledge
Option (a): Incorrect because it does not follow proper operator precedence.
Option (b): Incorrect due to incorrect placement of operators.
Option (d): Incorrect because it does not account for the multiplication and subtraction correctly.