The postfix equivalent of the infix expression (a + b)*(c*d - e) * f/g is :

The correct answer is ab + cd*e - fg*/*.

Key Points

• To convert an infix expression to its postfix equivalent, follow the order of operations and use a stack to manage the operators.
• The given infix expression is (a + b)*(c*d - e) * f/g.
  • First, evaluate the expression inside the parentheses: a + b and c*d - e.
  • The postfix notation for a + b is ab+.
  • The postfix notation for c*d - e is cd*e-.
  • Next, multiply the results of these two expressions: (ab+)(cd*e-).
  • The postfix notation for this multiplication is ab+cd*e-*.
  • Finally, multiply by f and divide by g: (ab+cd*e-)*f/g.
  • The postfix notation for this final expression is ab+cd*e-*f*g/.
• Therefore, the postfix equivalent of the infix expression (a + b)*(c*d - e) * f/g is ab+cd*e-*f*g/.

Additional Information

• Infix notation is the standard arithmetic and logical formula notation, where operators are placed between operands (e.g., a + b).
• Postfix notation (also known as Reverse Polish Notation) places operators after their operands (e.g., ab+).
• Postfix notation eliminates the need for parentheses to define operation order.
• This method is particularly useful in computer science for evaluating expressions in a stack-based manner.