Knowee
Questions
Features
Study Tools

Stacks are used for converting infix expressions to postfix expressions. What is the postfix form of the infix expression "A + B * C"?

Question

What is the postfix form of the infix expression A + B * C?

🧐 Not the exact question you are looking for?Go ask a question

Solution

To convert the infix expression "A + B * C" to postfix, follow these steps:

  1. Scan the infix expression from left to right.
  2. If the scanned character is an operand, output it.
  3. 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.
  4. If the scanned infix expression is ended, output the remaining operators from the stack.

Now, let's apply these steps to the given infix expression "A + B * C":

  1. Scan "A", it's an operand, so output it. Now, the output is "A".
  2. Scan "+", it's an operator, and the stack is empty, so push it to the stack.
  3. Scan "B", it's an operand, so output it. Now, the output is "A B".
  4. Scan "*", it's an operator, and its precedence is greater than the "+" operator in the stack, so push it to the stack.
  5. Scan "C", it's an operand, so output it. Now, the output is "A B C".
  6. The infix expression is ended, pop all the operators from the stack and output them. The operators are "" and "+". Since "" has higher precedence, it comes first. Now, the output is "A B C * +".

So, the postfix form of the infix expression "A + B * C" is "A B C * +".

This problem has been solved

Similar Questions

Stacks are used for converting infix expressions to postfix expressions. What is the postfix form of the infix expression "A + B * C"?

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

The postfix form of the expression (G+ F)*(E*D- C)*B / A is?GF+ ED*C - BA /**GF + ED* C- B **A/GF+ EDC * - * B *A /GF + ED* C - *B *A /

Data Structure required to evaluate infix to postfix is _________a.Stackb.Heapc.Queued.Pointer

1/2

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.