6. Which data structure is needed to convert infix notation to postfix notation?a) Treeb) Branchc) Stackd) Queue

Step 1: Break Down the Problem

To determine the data structure needed for converting infix notation to postfix notation, let's analyze the operation. Infix notation is the standard way of writing expressions where operators are placed between operands (e.g., A + B). Postfix notation (also known as Reverse Polish Notation) writes operators after their operands (e.g., AB+).

Step 2: Relevant Concepts

The conversion from infix to postfix notation requires handling operator precedence and parentheses, which can be efficiently managed using a specific data structure. The commonly used method for this conversion is the Shunting Yard algorithm devised by Edsger Dijkstra.

Step 3: Analysis and Detail

• Stack: The stack is used to keep operators and manage precedence. When an operator is read, it is pushed onto the stack, and when an operand is encountered, it is added to the output. The stack helps to ensure that operators are output in the correct order based on their precedence.

Step 4: Verify and Summarize

The operations that occur during the conversion process confirm that a stack is best suited for managing the order of operators while ensuring that the rules of precedence and parentheses are correctly followed.

Final Answer

The correct data structure needed to convert infix notation to postfix notation is c) Stack.