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GATE | GATE-CS-2003 | Question 59

  • Last Updated : 28 Jun, 2021

Consider the syntax directed definition shown below.

S → id : = E  {gen ( =;);}
E → E1 + E2   {t = newtemp ( ); gen (t = +;); = t}
E → id     { =;} 

Here, gen is a function that generates the output code, and newtemp is a function that returns the name of a new temporary variable on every call. Assume that ti’s are the temporary variable names generated by newtemp.
For the statement ‘X: = Y + Z’, the 3-address code sequence generated by this definition is
(A) X = Y + Z
(B) t1 = Y + Z; X = t1
(C) t1 =Y; t2 = t1 + Z; X = t2
(D) t1 = Y; t2 = Z; t3 = t1 + t2; X = t3

Answer: (B)

Explanation: It must be B. The production E –> E + E is used only one time and hence only one temporary variable is generated.

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