What is the postfix form of the infix expression A * (B + C)?

Options

  • A. ABC+*
  • B. AB*C+
  • C. *+ABC
  • D. More than one of the above
  • E. None of the above

Correct Answer (Detailed Explanation is Below)

A. ABC+*

Detailed Explanation

To convert A * (B + C) into postfix, first evaluate the parenthesized portion conceptually. B + C becomes BC+. The multiplication with A is then represented by placing * after the two operands/subexpressions, giving ABC+*. Postfix notation removes the need for parentheses because the order of operands and operators completely determines evaluation. The conversion process uses operator precedence and often a stack for operators.
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