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JNTU B.Tech III SWITCHING THEORY AND LOGIC DESIGN Previous Question Paper (February - 2022 - R13)

B.Tech | III | I | R13 | February - 2022

Answer PaperPaper Code: 115BEMaximum Marks: 75Time: 3 hours

Answer any five questions. All questions carry equal marks.

Main

115 marks
a

Realize 2-input X-NOR gate using only NAND gates and only NOR gates.

8 marks

Answer

To realize a 2-input X-NOR gate (F = A ⊙ B = AB + A'B'), we use universal gates.

Using NAND gates: A 2-input X-NOR gate requires 4 NAND gates. Let the inputs be A and B. The implementation is: F = NAND(NAND(A, NAND(A, B)), NAND(B, NAND(A, B))). This configuration results in the output (A ⊙ B).

Using NOR gates: A 2-input X-NOR gate requires 5 NOR gates. The implementation is: F = NOR(NOR(A, NOR(A, B)), NOR(B, NOR(A, B))). First, generate NOR(A, B), then use it in combination with A and B to produce the final output.

b

Encode a binary word 11001 into the even parity hamming code.

7 marks

Answer

To encode the 5-bit data word 11001 into an even parity Hamming code, we require 3 parity bits (p1, p2, p4) because 2n ≥ m + n + 1, where m=5 and n=3.

The bit positions are: 1(p1), 2(p2), 3(d1), 4(p4), 5(d2), 6(d3), 7(d4), 8(d5). Mapping the data bits: d1=1, d2=1, d3=0, d4=0, d5=1.

Parity bit calculations for even parity:

  1. p1 covers positions 1, 3, 5, 7: p1 ⊕ 1 ⊕ 1 ⊕ 0 = 0, so p1 = 0.
  2. p2 covers positions 2, 3, 6, 7: p2 ⊕ 1 ⊕ 0 ⊕ 0 = 0, so p2 = 1.
  3. p4 covers positions 4, 5, 6, 7: p4 ⊕ 1 ⊕ 0 ⊕ 0 = 0, so p4 = 1.

The resulting Hamming code is 0111100.

215 marks
a

Design a 4-bit binary to excess-3 code converter.

8 marks

Answer

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b

Explain unit distance code with an example.

7 marks

Answer

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315 marks
a

Simplify the following Boolean function using K-Map:

𝑓(𝑤, 𝑥, 𝑦, 𝑧) = ∑𝑚(0,1,2,7,8,9,10,15)
10 marks

Answer

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b

Differentiate prime implicants and essential prime implicants.

5 marks

Answer

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415 marks
a

Write all differences between combinational and sequential circuits.

6 marks

Answer

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b

Draw and explain the operation of Master-Slave JK flip-flop.

9 marks

Answer

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515 marks
a

Convert the T flip-flop into D flip-flop.

5 marks

Answer

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b

What is clock skew? Explain it.

5 marks

Answer

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c

Draw SR latch using only NAND and only NOR gates.

5 marks

Answer

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615 marks
a

Design a 3-bit asynchronous binary up-counter using T flip-flops.

9 marks

Answer

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b

What is meant by state diagram?

3 marks

Answer

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c

What are the applications of shift registers?

3 marks

Answer

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715 marks
a

Design and explain 4-bit ring and Johnson counters using D flip-flops.

8 marks

Answer

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b

Explain the implementation procedure for weighing machine.

7 marks

Answer

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815 marks
a

Explain the minimization of incompletely specified sequential machines with an example.

10 marks

Answer

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b

Differentiate Mealy and Moore machine.

5 marks

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