BABSc, B.Com & BCA Questions _III - Nalanda Open University

Nalanda Open University
Annual Exam-2010,
Bachelor in Computer Application, Part-III
Paper-XX (CS-73)
Time: 3Hrs Full Marks: 75
Answer any five questions. All questions are of equal marks.
1) Define Finite Automata. Explain DFA and NFA with suitable examples?
2) Explain Mealy and Moore machine? Give suitable examples.
3) Draw the Finite Automata for the following :
a) (a+b)*
b) 0(0+11)*1
c) a*+b*+(ab)*
d) (ab+ac+bc)+
4) Explain pumping Lemma? Show that the following are not regular.
a) L={a n b n | n>=0}
b) L={a p | p is prime}
5) Define Grammar? Explain Chomsky hierarchy of grammar?
6) Define PDA? Draw a PDA for the following :
a) An even palindrome in {a,b}.
b) An odd palindrome in {a,b}.
7) Define Turing Machine ?. Design a turing machine for F(m,n)={ m+n}
Where (i) m=0 , n=0
(ii) m >0, n=0
(iii) m=0, n>0
(iv) m>0, n>0
8) Prove that Regular grammar is closed under :
d) UNION
e) CONCATENATION
f) KLEENE STAR.
9) Write the grammar for the following :
a) L= {a m b n | m,n >=0}
10) Write short notes on :
(a) NP-hard problem
(b) Types of Complexity
(c) Primitive Recursive