Stacks are used for converting infix expressions to postfix expressions. What is the postfix form of the infix expression "A + B * C"?Group of answer choicesA B + C *A + B C *A B C * +B C * A +
Question
Stacks are used for converting infix expressions to postfix expressions. What is the postfix form of the infix expression "A + B * C"?Group of answer choicesA B + C *A + B C *A B C * +B C * A +
Solution
The postfix form of the infix expression "A + B * C" is "A B C * +".
Here's the step-by-step process:
- 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. Pop and discard the '('.
- 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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