11. The prefix form of A-B/ (C * D ^ E) is?a) -A/B*C^DEb) -A/BC*^DEc) -ABCD*^DEd) -/*^ACBDE
Question
11. The prefix form of A-B/ (C * D ^ E) is?
a) -A/B*C^DE
b) -A/BC*^DE
c) -ABCD*^DE
d) -/*^ACBDE
Solution
The prefix form of A-B/ (C * D ^ E) is -/^ACBDE. So, the correct answer is d) -/^ACBDE.
Here's the step-by-step conversion:
- Start with the infix expression: A-B/ (C * D ^ E)
- Apply the precedence of operators. The precedence order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). So, the expression becomes: A-(B/ (C * (D ^ E)))
- Convert the expression to prefix: -A/BC*^DE
- Adjust the operands to match the prefix notation: -/*^ACBDE
So, the prefix form of the given infix expression is -/*^ACBDE.
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