Dr Bhim Rao Ambedkar University 2007 B.Tech Information Technology Discrete Mathmatical structure - Question Paper
Sunday, 20 January 2013 12:45Web
Y-308
SECOND YEAR OF COMPUTER SCIENCE AND ENGINEERING (PART-1) EXAMINATION, 2007
DiscRETE MATHEMATICAL STRUCTURE
Total Marks: 100
Time: 3.00p.m. To 6.00p.m.
Instructions: 1) Attempt any 3 ques. from every part.
2) Figures to right indicate full marks.
SECTION-1
Q.1 a) what is well-formed formula? provide any 4 examples which are not well-formed formula.[Marks 6]
b) describe tautology. State whether subsequent are tautology or not.[Marks 6]
1. Sun rises at east.
2. provide me a book
3. Today is Sunday
4. Earth moves around the sun
c) provide the scheme to convert infix notation to prefix notation.[Marks 6]
Q.2 a) provide various kinds of operations on sets with example. [Marks 8]
b) provide the pointers and linked allocation of discrete structures. [Marks 8]
Q.3 a) indicates the subsequent implications:[Marks 8=4*2]
1) (P IMPLIES Q) IMPLIES Q = P OR Q
2) ((P OR ~P) IMPLIES Q) IMPLIES ((P OR ~P) IMPLIES R)=(Q IMPLIES R)
b) Draw the Hasse diagram of the subsequent sets under the partial ordering relation ’divides’.[Marks 8]
1) {1, 2, 3, 6, 12}
2) {3, 9, 27, 54}
Q.4 Write a short notes on:[Marks 18=6*3]
1) Partitions and covering of set
2) POSET and Hasse diagram
3) Normal and principal normal forms
SECTION-2
Q.5 a) describe the lattices as a POSET. describe greatest lower bound and lowest upper bound with examples.[Marks 8]
b) describe group. describe and provide examples of various kinds of groups.[Marks 10]
Q.6 a) discuss about the recovery of single fault in group codes.[Marks 8]
b) discuss the linked representation of binary tree.[Marks 8]
Q.7 a) derives the reverse polish expression for the subsequent expressions: :[ Marks 8=4*2]
1) a + (b/c) *d
2) (a + b) (c + d/e) * f
b) What is diagraph? describe the following:[Marks 8]
1. asymmetric diagraph
2. converse of a diagraph
3. reflexive diagraph
Q.8 a) describe the subsequent w.r.t groups:[Marks 8=2*4]
1. Order
2. Identity
3. Abelian
4. Degree
b) Let I be the set of integers. Prove that the algebraic system (I, +)is abelian group.[Marks 8]
Earning: Approval pending. |