JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech II Year DIGITAL SYSTEM DESIGN Previous Question Paper (March - 2022 - R18)
Answer any five questions
All questions carry equal marks
Main
Solve for x:
i) (257)8 =(x)2
ii) (21.625)10 = (x)8
iii) (BC.2)16 = (x)8
iv) (33)10 = (201)x
Answer
i) To convert (257)8 to binary, replace each octal digit with its 3-bit binary equivalent: 2=010, 5=101, 7=111. Thus, (257)8 = (010101111)2.
ii) To convert (21.625)10 to octal, divide the integer part by 8 and multiply the fractional part by 8: 21/8 = 2 remainder 5; 0.625 × 8 = 5.0. Thus, (21.625)10 = (25.5)8.
iii) Convert (BC.2)16 to binary first: B=1011, C=1100, 2=0010. Result: (10111100.0010)2. Group into 3-bit sets from the radix point: (010)(111)(100).(001)(000)2 = (274.10)8.
iv) Given (33)10 = (201)x, expand the base-x expression: 2x2 + 0x1 + 1x0 = 33. This simplifies to 2x2 + 1 = 33, or 2x2 = 32. Thus, x2 = 16, resulting in x = 4.
Obtain dual of the following Boolean expressions:
(i) AB+A(B+C)+B′(B+D)
(ii) A+B+A′B′C
Answer
The dual of a Boolean expression is obtained by replacing AND operators with OR operators, OR operators with AND operators, and interchanging 0s and 1s. Variables and their complements remain unchanged.
i) For AB + A(B + C) + B'(B + D): The dual is (A + B) · (A + (B · C)) · (B' + (B · D)).
ii) For A + B + A'B'C: The dual is A · B · (A' + B' + C).
Express the Decimal Digits 0-9 in BCD, 2421, 84-2-1 and Excess-3 codes.
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Using the tabular method, obtain the minimal expression for F = ∑ m(6, 7, 8, 9) + ∑ d(10, 11, 12, 13, 14, 15).
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Minimize the following expression using K-map and realize using NAND Gates: F(A,B,C,D)= ∑ m(1,3,7,11,15) + ∑ d(0,2,5).
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Construct a full adder using only two half adders and one OR gate.
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With the aid of external logic, convert D type flip-flop to a JK flip-flop.
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Design a synchronous modulo-12 counter using JK flip-flop.
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Find the characteristic equation for:
i) T flip-flop
ii) D flip-flop
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Draw and explain the operations of 4-bit universal shift register.
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Draw and explain the modulo N counters.
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Explain the concept of minimal cover table.
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Discuss about the approaches of designing synchronous sequential finite state machines.
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Design a 1101 sequence detector and draw its logic diagram.
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Write a short note on the following:
CMOS transmission gate
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Tristate TTL
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AND, OR gates using DTL.
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