University of Mumbai 2009-3rd Sem B.E Electrical and Electronics Engineering Digital Electronics Old - Question Paper
Digital Electronics Old Course Sem III May 2009
sthalf-09-nkD 234
VR-30S4
(OLD COURSE)
I ' (3 Hours) [ Total Marks : 100
N.B.:(1) Question No. 1 is compulsory.
(2) Solve any four out of remaining six questions.
(3) Assumptions made should be clearly stated.
(4) Figures to the right indicate marks.
1. (a) Add the Octal numbers (341)8, (125)e, (472)a and (577)a. 4
(b) Convert 0-8125 decimal numbers to its binary equivalent. 4
(c) Multiply (1110)2 and (1010)2 using binary multiplication method. 4
(a) Prove De-Morgans Theorems. 4
(e) Implement OR Gate using NAND Gates only. 4
2. (a) Prove that 10
(I) ABCD + BCD + BCD + BCD = B(D-t-C)
(ii) AB * A+AB = 0
(b) Design BCD lo Excess-3 code converter. 10
3. (a) Implement the following function using K-Map (Use NAND Gates only) 10
f(w, X, y, z) = m ( 1, 4. 5. 6, 11, 12, 13. 14. 15)
(b) Using Quine McClusky method minimize the Boolean Expression 10
f(A, B, C, D) = m ( 1, 5,6, 12f 13, 14) + d(2, 4)
4. (a) Explain what is master slave Flip Flop and give its applications. 10 (b) Draw and explain universal Shift Register with its operation. 10
5. (a) Design of a synchronous Mod-6 counter using clocked JK Flip Flops. 10 (b) Give difference between Synchronous counter and Asynchronous counter. 10
Give Merits and Demerits of these counters.
6. (a) Implement the following function using 4:1 multiplexer. 10
f(A, B, C) = Em (1, 3, 5, 6)
(b) Write short notes on : 10
(i) Fan out, Fan in.
(ii) Propagation Delay.
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