Select the correct answerThe postfix form of P*Q+R/S is?OptionsP*QR+/SPQ*RS/+*PQ/RS+PQRS+/*
Question
Select the correct answerThe postfix form of PQ+R/S is?OptionsPQR+/SPQ*RS/+PQ/RS+PQRS+/
Solution 1
The correct answer is PQ*RS/+.
Here's the step-by-step process:
- Start with the infix notation: P*Q+R/S
- According to the precedence of operators, multiplication () and division (/) have higher precedence than addition (+). So, the operations PQ and R/S should be performed first.
- Convert these operations to postfix notation: PQ* and RS/
- Now, the infix notation becomes PQ*+RS/
- The addition (+) operation is performed last in the infix notation. So, in the postfix notation, the '+' operator comes at the end.
- Therefore, the postfix form of PQ+R/S is PQRS/+.
Solution 2
The correct answer is PQ*RS/+.
Here's the step-by-step process:
- Start with the infix notation: P*Q+R/S
- The first operation in the infix notation is PQ, so in postfix notation, it becomes PQ.
- The next operation is R/S, so in postfix notation, it becomes RS/.
- The final operation is +, so in postfix notation, it is added at the end.
- Therefore, the postfix form of PQ+R/S is PQRS/+.
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