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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 /

Question

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

GF+EDCBA/GF + ED * C - BA /**
GF+EDCBA/GF + ED * C - B ** A /**
GF+EDCBA/GF + EDC * - * B * A /**
GF+EDCBA/GF + ED * C - * B * A /

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Solution

The postfix form of the expression (G + F) * (E * D - C) * B / A is:

  1. Convert the infix expression to postfix expression.

  2. Start from the leftmost element of the infix expression.

  3. If the element is an operand, add it to the postfix expression.

  4. If the element is an operator, then:

    • If the operator stack is empty, push the operator onto the stack.
    • If the operator stack is not empty, compare the precedence of the operator at the top of the stack with the current operator. If the current operator has higher precedence, push it onto the stack. If the current operator has lower or equal precedence, pop operators from the stack and add them to the postfix expression until an operator with lower precedence is found or the stack is empty. Then push the current operator onto the stack.
  5. If the element is a left parenthesis, push it onto the stack.

  6. If the element is a right parenthesis, pop operators from the stack and add them to the postfix expression until a left parenthesis is found. Then pop the left parenthesis from the stack.

  7. Repeat steps 3-6 until all elements of the infix expression have been processed.

  8. If there are still operators on the stack, pop them and add them to the postfix expression.

Following these steps, the postfix form of the expression (G + F) * (E * D - C) * B / A is: GF+EDC-BA/

This problem has been solved

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