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 *B C * A +A B C * +A + B C * PreviousNext
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 *B C * A +A B C * +A + B C * PreviousNext
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. Remove both '(' and ')'.
- Repeat steps 2-6 until infix expression is scanned.
- Pop and output from the stack until it is not empty.
So, for "A + B * C", the postfix expression is "A B C * +".
Similar Questions
10. Here is an infix expression: 4 + 3*(6*3-12). Suppose that we are using the usual stack algorithm to convert the expression from infix to postfix notation. The maximum number of symbols that will appear on the stack AT ONE TIME during the conversion of this expression?a) 1b) 2c) 3d) 4
Which of the given is not an application of Stack?Optionsevaluation of postfix expressionbalancing symbolsconvertion of Infix to Postfixnone
Which of the following is an application of stack?a.finding factorialb.tower of Hanoic.infix to postfixd.all of the above
Select the correct answerWhich of the given is not an application of Stack?Optionsbalancing symbolsconvertion of Infix to Postfixnoneevaluation of postfix expression
- Evaluate the postfix expression "5 3 * 8 +" using a stack
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.