a) Tree
b) Branch
c) Stack
d) Queue
- LIFO (Last In, First Out) property: This is crucial for handling operators and their precedence.
- Efficient push and pop operations: The stack allows for quick insertion and removal of operators, which is necessary for the conversion process.
How it works:
- Scan the infix expression from left to right:
- If an operand is encountered, add it to the postfix expression.
- If an operator is encountered:
- While the stack is not empty and the precedence of the top operator is greater than or equal to the precedence of the current operator, pop the top operator from the stack and add it to the postfix expression. Push the current operator onto the stack.
- When the end of the expression is reached:
- Pop all remaining operators from the stack and add them to the postfix expression.
By using a stack and following these steps, we can effectively convert infix expressions to their postfix equivalents.