a) -A/B*C^DE
b) -A/BC*^DE
c) -ABCD*^DE
d) -/*^ACBDE
Understanding Prefix Notation
- In prefix notation, the operator precedes its operands.
- The order of evaluation is from right to left.
Breaking Down the Expression
Given the infix expression: A – B / (C * D ^ E)
To convert it to prefix, we need to follow these steps:
- Handle Parentheses:
- We start with the innermost parentheses: (C * D ^ E)
- Converting this to prefix: * ^ CD E
- Handle Division:
- The expression becomes: A – B / (* ^ CD E)
- Converting it to prefix: – A / B * ^ CD E
- Final Prefix Expression:
- The complete prefix expression is: -A / B * ^ CD E
Therefore, the correct prefix form of the given infix expression is -A / B * ^ CD E.