Which data structure is needed to convert infix notation to postfix notation? BranchTreeStackQueue
Question
Which data structure is needed to convert infix notation to postfix notation?
- Branch
- Tree
- Stack
- Queue
Solution
To convert infix notation to postfix notation, you would need to use a Stack data structure. Here are the steps:
- Scan the infix expression from left to right.
- If the scanned character is an operand, output it.
- Else,
- If the precedence of the scanned operator is greater than the precedence of the operator in the stack(or the stack is empty), push it.
- Else, Pop the operator from the stack until the precedence of the scanned operator is less-equal to the precedence of the operator residing on the top of the stack. Push the scanned operator to the stack.
- If the scanned character is an '(', push it to the stack.
- If the scanned character is an ')', pop and output from the stack until an '(' is encountered. Remove both '(' and ')'.
- Repeat steps 2-6 until infix expression is scanned.
- Print the output
- Pop and output from the stack until it is not empty.
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