SRM UNIVERSITY

Department of Information Technology

15IT212J – Computer Organization and Architecture

Cycle Test – 1 SET A

Degree : B.Tech Specialization: IT

Year/Sem: II/III Date: 08/08/2016

Duration : 50 Minutes Max. Marks: 25

Instructional Objective(s) covered in this test:

Represent digital data in different forms and simplify logic expressions

Student outcome(s) covered in this test:

a.  An ability to apply knowledge of computing, mathematics and basic sciences appropriate to the discipline

i.  Combines mathematical and/or scientific principles to formulate models of Core application domain

ii.  Translates academic theory into engineering applications and accepts limitations of computing, mathematics and/or basic sciences appropriate to the discipline.

______

PART-A (Answer any THREE questions) (3 x 4=12 Marks)

1. Subtract (-3) from (+9) using 2’s complement notation ?

2. Write in brief about different methods of representing negative integers in binary form?

3. Convert (7165)8 to Hexadecimal notation ?

4. Write any four Boolean identities used in the simplification of Boolean expression?

PART-B (Answer any ONE questions) (1 X 13=13 Marks)

5. Perform the following conversion

(i)  (869.35)10 to Binary

(ii)  (1011100011001)2 to octal

(iii) (74F.9C) 16 to decimal

(Or)

6. What is meant by standard SOP form? Convert the following function in the SOP: f(A,B,C,D) = ∑m(4,6,8,10,11,12,15) + d(3,5,7,9 )using K-map and draw the simplified logic diagram.?

SRM UNIVERSITY

Department of Information Technology

15IT212J – Computer Organization and Architecture

Cycle Test – 1 SET B

Degree : B.Tech Specialization: IT

Year/Sem: II/III Date: 08/08/2016

Duration : 50 Minutes Max. Marks: 25

Instructional Objective(s) covered in this test:

Represent digital data in different forms and simplify logic expressions

Student outcome(s) covered in this test:

a.  An ability to apply knowledge of computing, mathematics and basic sciences appropriate to the discipline

i.  Combines mathematical and/or scientific principles to formulate models of Core application domain

ii.  Translates academic theory into engineering applications and accepts limitations of computing, mathematics and/or basic sciences appropriate to the discipline.

______

PART-A (Answer any THREE questions) (3 x 4=12 Marks)

1. Subtract (-4) from (+7) using 2’s complement notation ?

2. Prove the following Boolean Theorems:

(i)  A+A’B=A+B

(ii)  (A+B)(A+B’)=A

3. Convert (716523)8 to Octal notation

4. Convert the following POS expression to SOP form: G= x’(x+y)(y+z’)(x+y’+z)

PART-B (Answer any ONE questions) (1 X 13=13 Marks)

5. Perform the following conversion

(iv) (713.05)10 to Binary ?

(v)  (1011100011001)2 to Hexadecimal ?

(vi) (56F.45D) 16 to decimal ?

6. What is meant by standard POS form? Convert the following function in the POS form: f(A,B,C,D) = ∏M(1,3,8,10,12,15) + d(2,9)using K-map and draw the simplified logic diagram.