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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)(ED- C)B / A is?GF+ EDC - BA /*GF + ED C- B **A/GF+ EDC * - * B A /GF + ED C - *B *A /

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Solution

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

Step 1: Convert the infix expression to postfix expression

  • 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.
  • Repeat steps 2-6 until infix expression is scanned.
  • Pop and output from the stack until it is not empty.

Applying these steps to the given expression, we get:

(G + F) * (E * D - C) * B / A

= GF+ED*C-BA/

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

This problem has been solved

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The postfix form of A*B+C/D is?

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