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Logic Design Question Paper - May 18 - Information Technology (Semester 3) - Mumbai University (MU)

## Logic Design - May 18

### Information Technology (Semester 3)

Total marks: 80
Total time: 3 Hours
INSTRUCTIONS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Draw neat diagrams wherever necessary.

Q1) Solve any four out of five.

1(a) Explain Input and Output characteristics of CE configuration of BJT.
(5 marks) 3124

1(b) Convert following decimal number to Binary, Octal, Hexadecimal and Gray code $(154)_{10}$
(5 marks) 1252

1(c) Design EX-OR gate using only NOR gates.
(5 marks) 1464

1(d) Draw two truth tables illutstrating the outputs of a full-adder, one table for the sum output.
(5 marks) 3127

1(e) Convert S-R flip-flop to D flip-flop.
(5 marks) 1806

2(a) Implement following using only one 8:1 Multiplexer and few gates:

$$f(A, B, C, D) = \sum m (1,2,3,5,6,9,10,11,14)$$

(5 marks) 1512

2(b) Using Quine McCluskey Method determine Minimal SOP form for

$$f(A, B, C, D) = \sum m (1,3,5,6,8,9,12,14,15) + \sum d (4,10,13)$$

(5 marks) 00

3(a) Explain Collector to base bias circuit with its stability factor.
(5 marks) 3125

3(b) With neat diagram explain operation of ALU IC74181
(5 marks) 3105

4(a) Design a Mod 10 synchronous counter using S-R Flip flop.
(5 marks) 00

4(b) Minimize the following four variable logic function using K-map:

$$f(A, B, C, D) = \sum m (0,2,3,5,6,7,8,10,11,14,15)$$

and design using only NAND gates.

(5 marks) 1462

5(a) Simplify following equation using Boolean algebra and Design using basic gates

$$f(A, B, C) = A'B + BC' + BC + AB'C'$$

(5 marks) 00

5(b) Explain entiry in VHDL and write VHDL program for half subractor circuit.
(5 marks) 1816

Q6) Solve the following (Any Four):

6(a) Explain working of Universal shift register.
(5 marks) 3129

6(b) Working of T flip flop.
(5 marks) 3130

6(c) Explain working of Differential Amplifier.
(5 marks) 3126

6(d) Write VHDL program for EX-NOR gate.
(5 marks) 1818

6(e) Explain working of Encoder and Decoder.
(5 marks) 3128

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