# Digital Electronics 4th - ND09 EC2203

B.E./B.Tech. DEGREE EXAMINATION, NOVEMBER/DECEMBER 2009.
Third Semester
Electronics and Communication Engineering
EC 2203 — DIGITAL ELECTRONICS
(Regulation 2008)

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PART A — (10 × 2 = 20 Marks)

1. Prove that the logical sum of all minterms of a Boolean function of 2 variables is 1.
2. Show that a positive logic NAND gate is a negative logic NOR gate.
3. Suggest a solution to overcome the limitation on the speed of an adder.
4. Differentiate a decoder from a demultiplexer.
5. Write down the characteristic equation for JK flip-flop.
6. Distinguish between synchronous and asynchronous sequential circuits.
7. Compare and contrast static RAM and dynamic RAM.
8. What is PAL? How does it differ from PLA?
9. What are Hazards?
10. Compare the ASM chart with a conventional flow chart.

PART B — (5 × 16 = 80 Marks)

11. (a) (i) Express the Boolean function Z X XY F + = in product of Maxterm. (6)
(ii) Reduce the following function using K-map technique
( ) ( ) ( ) 6 , 2 14 , 12 , 10 , 8 , 7 , 4 , 3 , 0 , , , d D C B A f + = p . (10)
Or
(b) Simplify the following Boolean function by using Quine-Mcclusky method
( ) ( ) ? = 13 , 12 , 10 , 8 , 7 , 6 , 3 , 2 , 0 , , , D C B A F . (16)

12. (a) Design a carry look ahead adder with necessary diagrams. (16)
Or
(b) (i) Implement full sub-tractor using demultiplexer. (10)
(ii) Implement the given Boolean function using 8 : 1 multiplexer
( ) ( ) ? = 6 , 5 , 3 , 1 , , C B A F . (6)

13. (a) (i) How will you convert a D flip-flop into JK flip-flop? (8)
(ii) Explain the operation of a JK master slave flip-flop. (8)
Or
(b) Explain in detail the operation of a 4 bit binary ripple counter. (16)

14. (a) Implement the following Boolean functions with a PLA
( ) ( ) ? = 4 , 2 , 1 , 0 , , 1 C B A F
( ) ( ) ? = 7 , 6 , 5 , 0 , , 2 C B A F
( ) ( ) ? = 7 , 5 , 3 , 0 , , 3 C B A F . (16)
Or
(b) Design a combinational circuit using a ROM. The circuit accepts a three bit number and outputs a binary number equal to the square of the input number. (16)

15. (a) Design a three bit binary counter using T flip flops. (16)
Or
(b) Design a negative-edge triggered T flip-flop. (16)