JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech II SWITCHING THEORY AND LOGIC DESIGN Previous Question Paper (August/September - 2022 - R13)
Answer any five questions
All questions carry equal marks
Main
Express the following numbers in decimal: i) (10110.0101)2 ii) (26.24)8 iii) (DADA.B)16
Answer
i) (10110.0101)2 = (1×24) + (0×23) + (1×22) + (1×21) + (0×20) + (0×2-1) + (1×2-2) + (0×2-3) + (1×2-4) = 16 + 0 + 4 + 2 + 0 + 0 + 0.25 + 0 + 0.0625 = 22.312510
ii) (26.24)8 = (2×81) + (6×80) + (2×8-1) + (4×8-2) = 16 + 6 + 0.25 + 0.0625 = 22.312510
iii) (DADA.B)16 = (13×163) + (10×162) + (13×161) + (10×160) + (11×16-1) = 53248 + 2560 + 208 + 10 + 0.6875 = 56026.687510
Subtract the following numbers using 1’s and 2’s complement: i) 1010100 – 1000011 ii) 1110.011 – 1001.001
Answer
i) 1010100 - 1000011: 1's complement of 1000011 is 0111100. Adding: 1010100 + 0111100 = 10010000. Adding carry: 0010000 + 1 = 0010001. 2's complement of 1000011 is 0111101. Adding: 1010100 + 0111101 = 10010001. Discarding carry gives 0010001.
ii) 1110.011 - 1001.001: 1's complement of 1001.001 is 0110.110. Adding: 1110.011 + 0110.110 = 10101.001. Adding carry: 0101.001 + 1 = 0101.010. 2's complement of 1001.001 is 0110.111. Adding: 1110.011 + 0110.111 = 10101.010. Discarding carry gives 0101.010.
The following decimal numbers are shown in sign-magnitude form, perform the following operations: i) (-9286) + (-801) ii) (+9282) - (-801)
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Simplify the following Boolean expressions to minimum number of literals and draw the logic diagram of the circuits that implement the original and simplified expressions:
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Given the Boolean functions F1 and F2, show that the Boolean function E = F1F2 contains the sum of the minterms that are common to F1 and F2.
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Implement the following Boolean function using one NOR gates:
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Simplify the following function F using map method in sum-of-minterms form and draw the logic diagram of it.
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Explain about tristate bus system with suitable diagram.
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What is tristate bus system? What are the advantages of it?
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Design a binary multiplier that multiplies two unsigned four-bit numbers using AND gates and binary adders.
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Explain the differences among a truth table, excitation table and characteristic table.
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Write a short note on clock skew.
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Draw the timing diagram for D Flip-Flop.
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Write truth table, logic diagram, excitation table of D flip-flop.
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How to convert JK Flip Flop To D Flip-Flop?
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What are the differences between positive and negative edge triggering?
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For the following state table:
a) Draw the corresponding state diagram
b) Tabulate the reduced state table
c) Draw the state diagram corresponding to the reduced state table.
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Explain the concept of minimal cover table with suitable example.
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Show the eight exit paths in an ASM block emanating from the decision boxes that check the eight possible binary values of three control variable x, y, and z.
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