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CS/IT/EE-405 PTO

Total No. of Questions :5] [Total No. of Printed Pages :2

Roll No ..................................

CS/IT/EE - 405B.E. IV Semester Examination, June 2014

Analog and Digital CommunicationTime : Three Hours

Maximum Marks : 70Note: i) Answer five questions. In each question part A, B, C is compulsory and D part has internal

choice.ii) All parts of each question are to be attempted at one place.iii) All questions carry equal marks, out of which part A and B (Max. 50 words) carry 2 marks,

part C (Max. 100 words) carry 3 marks, part D (Max. 400 words) carry 7 marks.iv) Except numericals, Derivation, Design and Drawing etc.

f (t) = e-bt

f (t)

t0

→

→Unit - I

1. a) What are the merits of the Fourier transform. 2b) What are the limitations of the Fourier transform. 2c) Discuss the Parseval’s theorem. 3d) Find the Fourier transformed a double sided exponential signal e–bt shown in the fig. 7

ORDiscuss the properties of the Fourier transform. 7

Unit - II2. a) Describe frequency modulation. 2

b) What is the bandwidth required for an FM signal in which the modulating frequency of 52kHzand the maximum deviation is 10kHz. 2

c) Discuss the VSB transmission. 3d) Discuss the balanced modulator circuit and its principle. 7

ORDiscuss the switching modulator circuits to chopp a baseband signal. 7

Unit - III3. a) State sampling theorem. 2

b) Describe delta modulation. 2c) Discuss differential PCM. 3d) Compare time division multiplexing and frequency division multiplexing. 7

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CS/IT/EE-405 PTO

0.25→

→

→

→ →

→

x1

x2

x3

y1

y2

0.25

0.15

0.15

0.1

0.1

ORDiscuss the term signal to Noise ratio, Companding, Data rate, Barred rate, Bit rate. 7

Unit - IV4. a) Discuss the binary phase shift keying. 2

b) What is differential phase shift keying? 2c) Discuss the probability of error in case of BPSK. 3d) Draw the base band signal receiver. Discuss the reduction of the probability of error then it.

7OR

Describe MODEM in short. 7

Unit - V5. a) What is entropy? 2

b) Discuss marginal and conditional entropies. 2c) Describe Shannon theorem. 3d) Describe error detection and correction codes. 7

ORFind the mutual information for the channel as shown below. 7

******

[1]

IT - 403 PTO

Total No. of Questions : 5] [Total No. of Printed Pages :2

Roll No ..................................

IT - 403B.E. IV Semester Examination, December 2014

Data Base Management SystemTime : Three Hours

Maximum Marks : 70

Note: i) Answer five questions. In each question part A, B, C is compulsory and D part has internal choice.

ii) All parts of each question are to be attempted at one place.

iii)All questions carry equal marks, out of which part A and B (Max.50 words) carry 2 marks, part

C (Max.100 words) carry 3 marks, part D (Max.400 words) carry 7 marks.

iv) Except numericals, Derivation, Design and Drawing etc.

Unit - I

1. a) Define the two level of data independence.

b) What are the ACID properties?

c) List out the various relational algebra operator.

d) Describe the component of entity relationship diagram with suitable examples.

OR

Describe the features of embedded SQL and dynamic SQL. Give suitable examples.

Unit - II

2. a) What are the three kinds of intent locks?

b) What do you mean by weak entity set?

c) Write a note on functional dependencies.

d) Draw E-R diagram for a small telecom marketing company database, assuming your own data

requirements.

OR

Consider the universal relation

R = {A, B, C, D, E, F, G, H, I} and the set of functional dependencies

F = {(A, B)} → {C}, {A} → {D, E}

{B} → {F}, {F} → {G, H},

{D} → {I, J} what is the key for R?

Decompose R into 2 NF, then 3 NF relations.

Unit - III

3. a) Consider the following relation:

R (A, B, C, D, E)

The primary key of the relation is AB.

The following functional dependencies hold:

A → C B → D AB → E

is the above relation in second normal form?

b) With an example explain what a derived attribute is?

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IT - 403 PTO

c) List the commonly used concurrency control techniques.

d) Define a functional dependency list and discuss the six inference rules for functional

dependencies, give relevant example.

OR

Discuss two phase locking protocol with suitable example.

Unit - IV

4. a) Give the usage of rename operation with an example.

b) Write down any two major responsibilities of a database administer.

c) Define irreducible sets of dependencies.

d) Write short notes on the following

i) Mandatory access control

ii) Missing information

OR

Discuss join dependencies and fifth normal form and explain why 5 NF?

Unit - V

5. a) What is data tuning?

b) What are two pitfalls (problems) of lock-based protocols?

c) Distinguish between sparse index and dense index.

d) Define a transaction with a neat sketch discuss the states a transaction can be in then discuss

the following with suitable examples:

i) A read only transaction.

ii) A read write transaction.

iii) An aborted transaction.

OR

What is Hashing? Explain the distinction between closed and open hashing. Discuss the relative

merits of each technique in database application.

******

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BE-401 PTO

Total No. of Questions :5] [Total No. of Printed Pages :2

Roll No ..................................

BE - 401

B.E. IV Semester Examination, December 2014

Mathematics - III(Common for all Branches)

Time : Three Hours

Maximum Marks :70

Note: i) Answer five questions. In each question part A, B, C is compulsory and D part has internal choice.

ii) All parts of each question are to be attempted at one place.

iii)All questions carry equal marks, out of which part A and B (Max.50 words) carry 2 marks,

part C (Max.100 words) carry 3 marks, part D (Max.400 words) carry 7 marks.

iv) Except numericals, Derivation, Design and Drawing etc.

1. a) Show that zw e= is an analytic function and determine '( )f z .

b) Evaluate 2 1

1C

z zdz

z

− +−∫ , where C is the circle 1z = .

c) Evaluate

2

4( 1)C

ze

dzz +∫ , where C is the circle 2z = .

d) If ( )f z is a regular function of z prove that

2 22 2

2 2( ) 4 '( )f z f z

x y

∂ ∂+ = ∂ ∂ .

OR

If

23 7 1( )

C

z zf dz

zξ

ξ+ +=−∫ , where C is the circle 2 2 4x y+ = , find the values of f (3), f '(1–i)

and f ''(1–i).

2. a) Define algebraic and transcendental equations.

b) Find the smallest positive root of the equation x3–2x+0.5=0 by Newton-Raphson method.

c) The equation x6–x4–x3–1=0, has one real root between 1.4 and 1.5. Find the route to four

decimal places by the method of False-Position.

d) Solve the following system of equations 8x–y+z=18; 2x+5y–2z=3; x+2y–3z=–6 using

Gauss-Seidel iterative method.

OR

Apply Gauss-Jordan method to find the solution of the following system of equations:

10x+y+z = 12; 2x+10y+z = 13, x+y+5z = 7.

3. a) Define interpolation and write the Newton's forward and Backward interpolation formula.

b) Find the cubic polynomial which takes the following values:

x : 0 1 2 3

f (x) : 1 2 1 10

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BE-401 PTO

c) Evaluate

6

2

01

dx

x+∫ by using Weddle's rule.

d) The following table gives the normal weights of babies during the first 12 months of life.

Age in months: 0 2 5 8 10 12

Weights in lbs: 7½ 10¼ 15 16 18 21

Estimate the weight of the baby at the age of 7 months.

OR

Find f ' (x) and f '' (x) at x = 6, given that

x : 4.5 5.0 5.5 6.0 6.5 7.0 7.5

y = f (x) : 9.69 12.90 16.71 21.18 26.37 32.34 39.15

4. a) Use Picards method to approximate y when x = 0.1 given that y = 1, when x = 0 and dy y x

dx y x

−=+ .

b) Write the steps of Runge-Kutta method.

c) From the following data, obtain the value of the correlation coefficient: n = 10, Σ x = 140,

Σ y = 150, Σ (x–10)2 = 180, Σ (y–15)2 = 215 and Σ (x–10) (y–15) = 60.

d) By the method of least squares, find the curve y = ax+bx2, that best fits the following data:

x : 1 2 3 4 5

y : 1.8 5.1 8.9 14.1 19.8

OR

Given 1dy y

dx x= + , y = 2 at x = 1. Find approximate value of y at x = 1.4 by taking step size

h = 0.2, apply modified Euler's method.

5. a) Find the mean of the binomial distribution.

b) Given A and B two events with 7 1

( ) , ( )8 4

P A B P A B= =∪ ∩ and 5

( )8

P A B =∩ . Find P (A)

and P (B).

c) If the probability of a bad reaction from certain injection is 0.001. Determine the chance

that out of 2000 individuals more than two will get a bad reaction.

d) Fit a Poisson distribution for the following data and test the goodness of fit, given that

χ2 = 0.05 = 7.815 for 3 d.f.

x : 0 1 2 3 4

f : 122 60 15 2 1

OR

The life time of a certain kind of battery is a random variable, which as an exponential distribution

with a mean of 200 hrs. Find the probability that such a battery will last. (i) At most 100 hrs.

and (ii) last any-where from 400 to 600 hrs.

******

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