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Consider two binary operators ' ' and '' with the precedence of operator  being lower than that of the  operator. Operator  is right associative while operator  is left associative. Which one of the following represents the parse tree for expression (7  3 ­ 4 ­ 3  2)? (GATE CS 2011)
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider two binary operators '' and '' with the prece...
Let us consider the given expression ([Tex]7 downarrow 3 uparrow 4 uparrow 3 downarrow 2[/Tex]). Since the precedence of [Tex]uparrow[/Tex] is higher, the sub-expression ([Tex]3 uparrow 4 uparrow 3[/Tex]) will be evaluated first. In this sub-expression, [Tex]4 uparrow 3[/Tex] would be evaluated first because [Tex]uparrow[/Tex] is right to left associative. So the expression is evaluated as [Tex]((7 downarrow (3 uparrow (4 uparrow 3))) downarrow 2)[/Tex]. Also, note that among the two [Tex]downarrow [/Tex] operators, first one is evaluated before the second one because the associativity of [Tex]downarrow[/Tex] is left to right.
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Consider two binary operators '' and '' with the precedence of operatorbeing lower than that of theoperator. Operatoris right associative while operatoris left associative. Which one of the following represents the parse tree for expression (73 ­4 ­32)? (GATE CS 2011)a)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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