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Digital Logic Design Jan 2023

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Code No: R203104Q R20 SET - 1

III B. Tech I Semester Regular Examinations, Dec/Jan -2022-23


DIGITAL LOGIC DESIGN
(Common to CSE, IT)
Time: 3 hours Max. Marks: 70
Answer any FIVE Questions ONE Question from Each unit
All Questions Carry Equal Marks
*****
UNIT-I
1. a) i) Convert (8B7.A4)16 toits binary equivalent. [7M]
ii) Convert (714.36)8 to its hexadecimal equivalent.
b) Encode the binary word 10111 into 9 bit hamming code for odd [7M]
parity.
(OR)
2. a) i) What are the universal gates? Why they are called as universal [7M]
gates? Discuss with the figures.
ii) Draw the Logic diagram and explain the truth table of EX-OR
and EX-NOR gates.
b) i) State and prove De-morgan theorems. [7M]
ii) Reduce the following Boolean Expression:
AB+ABC+AB(D+E).
UNIT-II
3. a) Simplify the following function using K-Map: [7M]
F(A,B,C,D)=∑(0,2,3,8,10,11,12,14)
b) Design a full adder by using two half adders. [7M]
(OR)
4. a) Simplify the following function using K-Map: [7M]
F(A,B,C,D,E)= П(0,1,6,7,8,9,21,22,23,29,31)
b) Implement Carry look-a-head adder circuit and explain its [7M]
operation briefly.
UNIT-III
5. a) Implement the following Boolean functions using PROM: [7M]
F1(A2,A1,A0)=∑(0,1,2), F2(A2,A1,A0)=∑(3,4,5), F3(A2,A1,A0)=∑(2,4,6)
b) Draw the pin diagram and obtain the truth table of IC 7485? [7M]
(OR)
6. a) Design a 4 to 2 priority encoder. [7M]
b) Implement the following Boolean function using 4:1 Mux: [7M]
F(A,B,C,D)=∑(0,2,3,6,11,13,15)
UNIT-IV
7. a) What is a Flip flop? Explain the SR flip flop with the help of logic [7M]
diagram, truth table and excitation table.
b) Design a 3 bit Synchronous Counter. [7M]
(OR)
8. a) Convert SR Flip flop into JK flip flop. [7M]
b) What is a register? Explain the operation of Parallel In Serial Out [7M]
shift register (PISO).

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Code No: R203104Q R20 SET - 1

UNIT-V

9. a) Explain the differences between Mealy and Moore Machine. [7M]


b) What is a Finite State Machine? Explain the capabilities and [7M]
limitations of Finite State Machine.
(OR)
10. a) Explain the designing steps to convert Mealy machine to Moore [7M]
machine.
b) Design a finite state machine which can detect the sequence [7M]
0010.

2 of 2

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Code No: R203104Q R20 SET - 2

III B. Tech I Semester Regular Examinations, Dec/Jan -2022-23


DIGITAL LOGIC DESIGN
(Common to CSE, IT)
Time: 3 hours Max. Marks: 70
Answer any FIVE Questions ONE Question from Each unit
All Questions Carry Equal Marks
*****
UNIT-I
1. a) i) If (211)X=(152)8,find X. [7M]
ii) Convert (24.95)10 to its binary equivalent.
b) Encode the binary word 11001 into 9 bit hamming code for even [7M]
parity.
(OR)
2. a) i) Implement an EX-OR gate logic using NOR gates. [7M]
ii) Implement an OR gate logic using NOR gates.
b) i) Convert the given SOP to standard SOP: [7M]
A+BC
ii) Reduce the following Boolean Expression:
XY+XYZ+XYZ1+X1YZ
UNIT-II
3. a) Simplify the following function using K-Map: [7M]
F(A,B,C,D,E)=∑(0,2,4,7,8,10,12,16,18,20,23,24,25,26,27,28)
b) Design a full subtractor by using two half subtractors. [7M]
(OR)
4. a) Simplify the following function using K-Map: [7M]
F(A,B,C,D)= П(0,1,2,3,5,7,11)
b) Implement a 4 bit Binary to Gray code converter. [7M]
UNIT-III
5. a) Implement the following Boolean functions using PLA: [7M]
A(X,Y,Z)=∑(1,2,4,6), B(X,Y,Z)=∑(0,1,6,7), C(X,Y,Z)=∑(2,6)
b) Draw the pin diagram and obtain the truth table of IC 74154. [7M]
(OR)
6. a) What is decoder? Construct a 4:16 decoder with two 3:8 [7M]
decoders.
b) Implement the following Boolean function using 8:1 Mux: [7M]
F(A,B,C,D)=П(1,5,8,9,12,15)
UNIT-IV
7. a) What is Race around condition? Explain the JK flip flop with the [7M]
help of logic diagram, truth table and excitation table.
b) Design a 3 bit Asynchronous Counter. [7M]
(OR)
8. a) Convert JK Flip flop into SR flip flop. [7M]
b) What is a register? Explain the operation of Universal Shift [7M]
Register.
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Code No: R203104Q R20 SET - 2

UNIT-V
9. a) Explain the designing steps to convert Mealy machine to Moore [7M]
machine.
b) Explain the capabilities and limitations of Finite State Machine. [7M]
(OR)
10. a) Explain the Mealy and Moore Machines with neat figures. [7M]
b) Design a finite state machine which can detect the sequence [7M]
0111.

2 of 2

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Code No: R203104Q R20 SET - 3

III B. Tech I Semester Regular Examinations, Dec/Jan -2022-23


DIGITAL LOGIC DESIGN
(Common to CSE, IT)
Time: 3 hours Max. Marks: 70
Answer any FIVE Questions ONE Question from Each unit
All Questions Carry Equal Marks
*****
UNIT-I
1. a) i) Find the 2’s complement of (110101)2. [7M]
ii) Find the 8’s complement of (346510)8.
iii) Convert (1011011)2 to its Gray code equivalent.
b) Determine which bit is having error in the received 7 bit even [7M]
parity hamming code, 0100011.
(OR)
2. a) i) Implement an EX-NOR gate logic using NOR gates. [7M]
ii) Implement an AND gate logic using NOR gates.
b) i) Convert the given SOP to standard SOP: [7M]
XY+X1Z+YZ
ii) Reduce the following Boolean Expression:
A(A+B)
UNIT-II
3. a) Simplify the following 5 Variable function using K-Map: [7M]
F=∑(0,2,3,5,7,8,10,11,14,15,16,18,24,26,27,29,30,31)
b) Design a 4 bit adder-subtractor circuit and explain its operation. [7M]
(OR)
4. a) Simplify the following function using Tabular method: [7M]
F(A,B,C,D)=∑(0,2,3,6,7,8,10,12,13)
b) Implement a 4 bit Gray to Binary code converter. [7M]
UNIT-III
5. a) Implement the following Boolean functions using PAL: [7M]
A(X,Y,Z)=∑(1,2,4,6), B(X,Y,Z)=∑(0,1,6,7), C(X,Y,Z)=∑(2,6)
b) Implement a 4-bit digital comparator and explain its operation. [7M]
(OR)
6. a) What is a multiplexer? Construct a 8:1multiplexer with two [7M]
4:1multiplexers.
b) Implement the following Boolean function using 4:1 Mux: [7M]
F(A,B,C,D)=∑(1,2,5,8,9,12,14)
UNIT-IV
7. a) What is a Flip flop? Explain the D flip flop with the help of logic [7M]
diagram, truth table and excitation table.
b) Design a 4 bit Johnson counter. [7M]
(OR)
8. a) Convert D Flip flop into T flip flop. [7M]
b) Design a 4 bit Serial In Serial Out (SISO)– shift left register and [7M]
explain its operation.
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Code No: R203104Q R20 SET - 3

UNIT-V
9. a) What is a Finite State Machine? Explain the capabilities and [7M]
limitations of Finite State Machine?
b) Explain the differences between Mealy and Moore Machine? [7M]
(OR)
10. a) Design a finite state machine which can detect the sequence [7M]
0111.
b) Explain the designing steps to convert Moore machine to Mealy [7M]
machine?

2 of 2

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Code No: R203104Q R20 SET - 4

III B. Tech I Semester Regular Examinations, Dec/Jan -2022-23


DIGITAL LOGIC DESIGN
(Common to CSE, IT)
Time: 3 hours Max. Marks: 70
Answer any FIVE Questions ONE Question from Each unit
All Questions Carry Equal Marks
*****
UNIT-I
1. a) i) Find the 10’s complement of (278600)10 [7M]
ii) Find the 16’s complement of (34CEDA)16
iii) Convert given Gray code (1100110) to its Binary code
equivalent.
b) Determine which bit is having error in the received 9 bit odd [7M]
parity hamming code, 101101101.
(OR)
2. a) i) Implement an EX-OR gate logic using NAND gates. [7M]
ii) Implement an AND gate logic using NAND gates.
b) i) Convert the given POS to standard POS: [7M]
(X+Y)(Y+Z)(X+Z)
ii) Draw the pin diagram and obtain the truth table of IC 7400.
UNIT-II
3. a) Simplify the following 6 Variable function using K-Map: [7M]
F=∑(0,5,7,8,9,12,13,23,24,25,28,29,37,40,42,44,46,55,56,57,60
,61)
b) Implement a 4 bit BCD to Binary code converter. [7M]
(OR)
4. a) Simplify the following function using Tabular method: [7M]
F(A,B,C,D)= П(2,4,5,9,12,13)
b) Implement a 4 bit Binary to BCD code converter. [7M]
UNIT-III
5. a) Distinguish between PROM, PLA and PAL. [7M]
b) Implement a seven segment decoder and explain its operation. [7M]
(OR)
6. a) What is a de-multiplexer? Construct a 1:8 de-multiplexer with [7M]
two 1:4 de-multiplexers.
b) Implement the following Boolean function using 8:1 Mux: [7M]
F(A,B,C,D)=П(0,2,3,5,7,11,14,15)
UNIT-IV
7. a) What is a Flip flop? Explain the T flip flop with the help of logic [7M]
diagram, truth table and excitation table.
b) Design a 4 bit Ring counter. [7M]
(OR)
8. a) Convert T Flip flop into D flip flop. [7M]
b) Design a 4 bit Serial In Serial Out (SISO)– shift right register and [7M]
explain its operation.
1 of 2

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Code No: R203104Q R20 SET - 4

UNIT-V

9. a) What is a Finite State Machine? Explain the capabilities and [7M]


limitations of Finite State Machine.
b) Discuss the process to convert Moore machine to Mealy [7M]
machine?
(OR)
10. a) Design a finite state machine which can detect the sequence [7M]
0010?
b) Differentiate the mealy machine and moore machine. [7M]

2 of 2

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