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Posted By: S.Yamini Member Level: Diamond Posted Date: 08 May 2008
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2005 Indira Gandhi National Open University (IGNOU) B.C.A Theory of Computer Science Question paper
Test Papers / Previous Question Papers of IGNOU CS73 Theory of Computer Science December 2005 BACHELOR IN COMPUTER APPLICATIONS Term-End Examination
December, 2005
CS73 (S) : THEORY OF COMPUTER SCIENCE
Time: 3 hours Maximum Marks: 75
Note : Question number 1 is compulsory. Answer any three questions from the rest. 1. (a) Define Grammar State the Chomsky's classification of grammars. (6)
(b) Find the equivalent finite automata for the regular expression (a + b)* (ab + ba) (a + b)*. (6)
(c) Give one application each for the following : (6) CFG, Regular expression, Finite automata.
(d) Define the following terms in the context of Turing machine. Instantaneous description, Halted configuration. (3)
(e) Give the guiding rules for constructing a Turing machine m out of mi.
(f) Explain the notations T, O and ?. (6)
2. (a) Differentiate between any three types of grammars, based on their production rules. (6)
(b) Prove that L = {anbmanbm ? n, m = 1} is not context free.
(c) State any three undecidable problems. (3)
3. (a) Construct the two way Turing machine to accept the language {anbm} ? n = 1, m= 0}. (5)
(b) Show that the VERTEX-COVER Problem is NP-Complete. (7)
(c) Consider the following Moore machine : -----DIAGRAM----- Give the output for the following inputs : 00110010, 110101100. (3)
4. (a) What are the considerations for extension of Turing machines? Explain any two considerations in detail. (9)
(b) Give the transition diagram for a traffic signal. (6)
5. (a) Construct a PDA that can accept the language L over {a, b}, where L = {anbman ? n, m = 0}. Also show the execution of your PDA for the inputs aaabbaaa, aabbba. (9)
(b) Explain the equivalence of regular expression and FA. Also, give the transition diagram for the following : (6) (i) R = P + Q (ii) R = P* (iii) R = PQ
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