Question:
What is the equivalent postfix expression for the infix expression:
\(A + B \times C – D / E\)
इन्फिक्स व्यंजक \(A + B \times C – D / E\) का तुल्य पोस्टफिक्स व्यंजक क्या है?
Options:
- A B C × + D E / –
- A B + C × D E / –
- A B C × D E / – +
- + A × B C – / D E
- A B C × + D E / –
- A B + C × D E / –
- A B C × D E / – +
- + A × B C – / D E
Correct Answer: a)
Explanation:
Operator precedence: \(\times\) and \(/\) have higher precedence than \(+\) and \(-\).
1. \(B \times C \rightarrow B C \times\)
2. \(A + (B C \times) \rightarrow A B C \times +\)
3. \(D / E \rightarrow D E /\)
4. \((A B C \times +) – (D E /) \rightarrow \textbf{A B C × + D E / -}\) (Option a).
संक्रिया प्राथमिकता के अनुसार: \(B \times C = BC\times\), फिर \(A + BC\times = ABC\times+\), फिर \(D/E = DE/\), और अंत में \(\textbf{A B C × + D E / -}\) (विकल्प a)।