GATE CS 2024 Set 1 — Question 37
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Compiler Design → Semantic Analysis → Syntax-Directed Translation
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Question
Consider the following syntax-directed definition (SDD).
Given "MMLK" as the input, which one of the following options is the CORRECT value computed by the SDD (in the attribute )?
| Production | Semantic Rules |
|---|---|
S → DHTU | |
Correct answer
(A) 45
Solution
To find the value of for the input string "MMLK", we first construct the parse tree based on the given grammar productions.1. Parsing the Input "MMLK":
The start symbol is , and the production is
We need to match the input string "MMLK" to the components .
Now we compute the values using the semantic rules.
The start symbol is , and the production is
S → DHTU.We need to match the input string "MMLK" to the components .
- Match : The prefix "MM" matches the expansion of .
- (since the next character is 'L', which belongs to )
- Match : The next character "L" matches the expansion of .
- (since the next character is 'K', and must be skipped)
- Match : There are no 'C' characters. The next character is 'K', which belongs to . Thus, must derive .
- Match : The character "K" matches .
Now we compute the values using the semantic rules.
- For :
- For :
- For :
- For :
- For :
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