CS-60: Question Paper - June 2010

BACHELOR IN COMPUTER APPLICATIONS

Term-End Examination

June, 2010

CS-60: FOUNDATION COURSE IN

MATHEMATICS IN COMPUTING

Time : 3 hours                                                               Maximum Marks : 75

Note: Question No. 1 is compulsory. Attempt any three questions from questions No. 2 to 6. Use of calculator is permitted.

1.      

(a)      Show that the function f (x) = 3x —1 ;                                 15x3=45

Is one-one and onto.

(b)     Tell for each whether the statement is true or false :

                                                          (i)      R, the set of Real Numbers, is closed under addition operation.

                                                       (ii)      In R, the operation of multiplication is not commutative

                                                     (iii)      The relation '>' of 'greater than in R is transitive.

(c)      The function:

Is one-one

(d)      Find

(e)      Evaluate

(f)       Prove that the points  and  are the vertices of an isosceles triangle.

(g)      Find the equation of a straight line which passes through the  points

(h)     Find the equation of a straight line which meets x-axis in (5,0) and y-axis in (0,-3).

(i)        Find the equation of the parabola whose focus is the point (3,4) and directrix is the straight line 2x-3y+5=0.

(j)        Find the equation of a circle with radius 5 units and centre as (2, -3).

(k)     Find the coordinates of the vertices and the foci and the length of the latus rectum of the hyperbola.

(l)        Solve the system of simultaneous equations:

 

(m)    If

Find  

(n)     Evaluate

(o)     Obtain

in the form of.

2.                  

(a)     Evaluate the integral                                                      3+4+3

(b)    Evaluate the integral

(c)     Find the area of the region bounded by the curve

 And lying above the x-axis.

3.                                                                                                                 4+3+3

(a)      Find the equation of the circle circumscribing the triangle with vertices

(b)      Find the equation of parabola with focus and directrix Find the equation of the axis.

(c)       Find the standard equation of the hyperbola with eccentricity

4.                                                                                                                4+3+3

(a)      Find the equation of the plane which is perpendicular to the plane and which is contains the line of intersection of the planes

(b)      Find the equation to the sphere through the circle

and the point .

(c)       Find the equation to the cone whose vertex is origin and which passes through the curve given by

5.                                                                                                                3+3+4

(a)       Prove that .

(b)       Solve the equation

(c)       Expand in terms of the cosines of multiples of.

6.                                                                                                                4+3+3

(a)       Find the maxima and minima of the following faction

(b)      Find the equations of the tangents and the normal to the following faction

(c)       Trace the curve.

Read More

CS-64: Introduction Computer Organisation June 2011 Question paper

BACHELOR IN COMPUTER APPLICATIONS

Term-End Examination

June, 2011

 CS-64: INTRODUCTION TO COMPUTER ORGANISATION 

Time : 3 Hours

Max. Marks : 75

---

Note : Question one is compulsory. Answer any three questions from the rest.

---

1. (a) List the basic key features of a von-Neuman machine. Also draw structure of von-Neuman machine.
(b) What is a combinational circuit? Draw a combinational circuit for Boolean expression

(c) Explain need of multiplexer. Also explain how a 4 X 1 multiplexer works.
(d) What is a bus? Explain the working of a shared bus system with an example.
(e) Explain the need of error detection and correction. What is a parity bit? How a parity bit can be used for the purpose of error detection?
(f) What is Addressing? List and explain any two addressing schemes with the help of an example of each.

2. (a) Simplify the following Boolean expression using K-Map

Also draw the logic circuit for the simplified Boolean expression.

(b) What is an interrupt? Explain U88 Of interrupt in assembly programming with an example.
(c) What is a hardwired control unit? Explain its advantages.

3. (a) Draw a combinational circuit for 3-bit odd parity generator. Also make truth table for it.
(b) What is random access memory (RAM)? Briefly explain working of RAM.
(c) Perform the following arithmetic operations on 8 bit numbers using 2's Complement notation. Indicate overflow/underflow, if any:
(i) 57–48
(ii) –82+41

4. (a) What are four types of segments in 8086 assembly programming ? Explain the use of ASSUME directive with an example.
(b) What are the four general purpose registers in 8086? Explain uses of each of them.
(c) What is redundant array of independent disk (RAID)? Explain three basic characteristics of RAID.

5. (a) Write an assembly program to add two 8 bit numbers.
(b) Differentiate between synchronous and asynchronous circuits. Also explain the need of a flip-flop in circuit design with the help of an example.
(c) Explain the following terms with the help of an example/ diagram/ illustrations, if needed.
(i) Assembler
(ii) Memory hierarchy.

Read More