GATE CS 2018 Set 1 — Question 48
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Compiler Design → Syntax Analysis → Parse Trees
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Question
Consider the following parse tree for the expression a#b$c$d#e#f, involving two binary operators $ and #.
Correct answer
(A) $ has higher precedence and is left associative; is right associative
Solution
To determine precedence and associativity from a parse tree:
1.Precedence: Operators that are evaluated earlier appear deeper in the parse tree (further from the root). In the given tree, the nodes for the operator \#\has **higher precedence**.
2. **Associativity of $\**: Looking at the sub-expression , the tree groups it as . The left operation is a child of the parent \# a \# \dots \# e \# f\# a\#(e \# f) a \# (\dots \# (e \# f))\#\$$ has higher precedence and is left associative, and is right associative.
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