University of Sargodha M. Sc. I. T, First Term Exam 2015 Paper: Basie Mathematics (Math: 2215) Time Allowed: 2:30 Hour

University of Sargodha

M. Sc. I. T, First Term Exam 2015

Paper: Basie Mathematics (Math: 2215)

Time Allowed: 2:30 Hour

Maximum Marks: 80

OBJECTIVE (compulsory) (32)

Write short answers of the following questions, each in 3-4 lines on the answer

book and having 2 marks for each.

Q. No. 1.

What is negation statement? Explain.

it What is Tautology statement? Explain.

ili. Convert following binary numbers into decimal number 1001, •

Conyert decimal number into binary numbers 70 g

com

Multiply 10z and 112.

Explain conjuction "^ "

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vii!

Explain disjunction "v"

Define transpose of a matrix. •

Write 549 decimal number in binary.

Subtract 110101) -(101110)>

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xi.

Explain biconditional "s>"

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XVI

Define Cartesian product with example. &

What is the domain of the following [(x, y) e R× R|x?+ 2y? =1) •

What is Combination?

SUBJECTIVE (48)

Note: Attempt THREE out of FIVE questions, (All questions carry equal marks)

Q. No. 2 Prove by mathematical induction ra2 for n>1 •

Q. No. 3 If 4= (1,2,3,4,5) and B = (4,5,6,

7) then find the relation R= (i, J): i is even).

Q. No. 4M Construct the truth table for (Pv = r) A (r=s) → (p→r)

Q. No.

Given that f(x)=

-2x

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and g(x) = v3x+2, find f(g(x)).

Q. No!

Evaluate of the following by crammer's rule

-2

3

2

2

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