Digital Principles and System Design - Dec 2014

First Year Engineering (Semester 2)

TOTAL MARKS:
TOTAL TIME: HOURS

1 State the principle of duality.(2 marks) 10 What is volatile memory? Give example.(2 marks)

Answer any one question from Q11 (a) & Q11 (b)

11 (a) Simplify the function F(w,x,y,z)=∑m(2, 3, 12, 13, 14, 15) using tabulation method. Implement the simplified function using gates.(16 marks) 11 (b) (i) Simplify the Boolean function in Sum of Products (SOP) and Product of Sums (POS) F(A, B, C, D)=∑m(0,1,2,5,8,9,10).(10 marks) 11 (b) (ii) Plot the following Boolean function in Karnaugh map and simplify it. F(w, x, y, z)=∑m (0, 1, 2, 4, 5, 6, 8, 9, 12, 13, 14).(6 marks)

Answer any one question from Q12 (a) & Q12 (b)

12 (a) Design and implement a 8421 to gray code converter. Realize the converter using only NAND gates.(16 marks) 12 (b) Design 2-bit Magnitude Comparator and write a Verilog HDL code.(16 marks)

Answer any one question from Q13 (a) & Q13 (b)

13 (a) Design a MOD-10 Synchronous counter using JK flip-flops. Write execution table and state table.(16 marks) 13 (b) (i) How race condition can be avoided in a flip flop?(8 marks) 13 (b) (ii) Realize the sequential circuit for the state diagram shown below.
(8 marks)

Answer any one question from Q14(a) & Q14 (b)

14 (a) An asynchronous sequential circuit is described by the following excitation and output function.
Y=X₁X₂+(X₁+X₂)Y
Z=Y.
i) Draw the logic diagram of the circuit.
ii) Derive the transition table and output map.
iii) Describe the behaviour of the circuit.(16 marks) 14 (b) Design a synchronous counter using JK flip flop to count the following sequence 7, 4, 3, 1, 5, 0, 7, ....(16 marks)

Answer any one question from Q15 (a) & Q15(b)

15 (a) Design a BCD to Excess-3 code converter and implement using suitable PLA.(16 marks) 15 (b) Discuss on the concept of working and applications of semiconductor memories.(16 marks) 2 Implement AND gate using only NOR gates.(2 marks) 3 Implement the following Boolean function using 8:1 multiplexer F(A,B,C)=∑m(1, 3, 5, 6).(2 marks) 4 Define hazard.(2 marks) 5 Distinguish Moore and Mealy circuit.(2 marks) 6 With reference to a JK flip flop, what is racing?(2 marks) 7 How many states are there in a 3-bit ring counter? What are they?(2 marks) 8 What is a Priority Encoder?(2 marks) 9 Whether PAL is same as PLA? Explain.(2 marks)