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VIVEKANANDHA COLLEGE OF ENGINEERING FOR WOMEN

Department of Electronics &Communication Engineering

Date:23.07.12Internal TestI

Question Paper Set: I

Max.Marks:50

Time:09.45A.M-

11.15A.M

Subject code/Name:EC2203/DIGITAL

ELECTRONICSYear/Branch/Section: II/ECE/A&B

Part-A (Answer All Questions)

10x2=20

1. State &Prove that De Morgan's theorem.2. State & prove that distributive property of Boolean algebra.3. What is the difference between Boolean algebra & ordinary algebra?4. What are basic properties of Boolean algebra?5. Simplify the following using De Morgan's theorem [((AB)'C)'' D]'6. Reduce A'B'C' + A'BC' + A'BC7. Simplify (X + Y' + XY)( X + Y')(X'Y).8. Define duality property.

9. Find the complement of the functions F1 = x'yz' + x'y'z and F2 = x (y'z' + yz).By applying De-Morgan's theorem.

10. Convert the given expression in canonical SOP form Y = AC + AB + BC

Part B ( Answer any three questions )

3x10=30

11.a)Convert the given expression in canonical POS form Y = ( A + B)(B +C)(A + C).b) Prove that (x1+x2).(x1. x3+x3) (x2 + x1.x3) =x1x2

12. a) Reduce the Boolean expressionAB+AC+ABC(AB+C) into the simplest form usingBoolean theorems.

b) Simplify [(AB+C)(A+B)+C] using demorgans theorem.

13. Express the Boolean fn. Y=AB+C in canonical SOP and POS form.14. Simplify Y=m(0,1,2,4,8,9,10) using K map.15.Simplify y= m(0,2,3,4,6,8,10,11,12,14) using K map.

7/31/2019 de_qp_t1

2/2

VIVEKANANDHA COLLEGE OF ENGINEERING FOR WOMEN

Department of Electronics &Communication Engineering

Date:23.07.12Internal TestI

Question Paper Set: II

Max.Marks:50

Time:09.45A.M-

11.15A.M

Subject code/Name:EC2203/DIGITAL

ELECTRONICSYear/Branch/Section: II/ECE/A&B

Part-A (Answer All Questions)

10x2=20

1. Reduce A'B'C' + A'BC' + A'BC2. Simplify (X + Y' + XY)( X + Y')(X'Y).3. Define duality property.

4. Find the complement of the functions F1 = x'yz' + x'y'z and F2 = x (y'z' + yz).By applying De-Morgan's theorem.

5. Convert the given expression in canonical SOP form Y = AC + AB + BC

6. State &Prove that De Morgan's theorem.

7. State & prove that distributive property of Boolean algebra.

8. What is the difference between Boolean algebra & ordinary algebra?

9. What are basic properties of Boolean algebra?

10Simplify the following using De Morgan's theorem [((AB)'C)'' D]'

Part B ( Answer any three questions )

3x10=30

11. Express the Boolean fn. Y=AB+C in canonical SOP and POS form.

12. Simplify Y=m(0,1,2,4,8,9,10) using K map.

13.Simplify y= m(0,2,3,4,6,8,10,11,12,14) using K map.14. a)Convert the given expression in canonical POS form Y = ( A + B)(B +C)(A + C).

b) Prove that (x1+x2).(x1. x3+x3) (x2 + x1.x3) =x1x2

15. a) Reduce the Boolean expressionAB+AC+ABC(AB+C) into the simplest form using

Boolean theorems.b) Simplify [(AB+C)(A+B)+C] using demorgans theorem.