Which data structure is needed to convert infix notation to postfix notation?

Options

  • A. Stack
  • B. Queue
  • C. Branch
  • D. Tree

Correct Answer (Detailed Explanation is Below)

A. Stack

Detailed Explanation

To convert Infix notation (e.g., A + B) to Postfix notation (e.g., A B +), we use a Stack.

Why?

  • Operators are temporarily stored in a stack.

  • Stack helps manage:

    • Operator precedence

    • Parentheses handling

  • It follows LIFO (Last In, First Out), which is perfect for this conversion process.

This method is commonly known as the Shunting Yard Algorithm (uses stack internally).


❌ Other Options:

  • (d) Queue → Used in BFS, not for infix-postfix conversion

  • (c) Branch → Not a data structure

  • (a) Tree → Expression trees exist, but direct conversion algorithm uses a stack

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