What is the postfix expression for the corresponding infix expression a + b *…
2023
What is the postfix expression for the corresponding infix expression a + b * c + (d * e) ?
- A.
abc*+de*+
- B.
abc+de+
- C.
a+bcde+
- D.
More than one of the above
- E.
None of the above
Attempted by 600 students.
Show answer & explanation
Correct answer: A
To convert the infix expression a + b * c + (d * e) to postfix, follow the order of operations and operator precedence. Step 1: Identify operator precedence. Multiplication (*) has higher precedence than addition (+). Step 2: Evaluate sub-expressions with higher precedence first: b * c becomes bc*, and d * e becomes de*. Step 3: Replace the sub-expressions in the original expression: a + bc* + de*. Step 4: Apply left associativity for addition. First, a + bc* becomes abc*+. Then, abc*+ + de* becomes abc*+de*+. Final postfix expression: abc*+de*+.