Digital Circuits Week 5 Nptel Assignment Answers
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Digital Circuits Week 5 Nptel Assignment Answers (July-Dec 2025)
Question 1. Find the number of 2 x 1 MUX (multiplexers) required to implement 16 x 1 MUX
a) 15
b) 20
c) 5
d) 9
Question 2. Consider the 2-bit multiplexer (MUX) shown in the figure. For OUTPUT to be the XOR of C and D, the values for A₀, A₁, A₂ and A₃ are ___________.
a) A₀ = 1, A₁ = 0, A₂ = 1, A₃ = 1
b) A₀ = 1, A₁ = 0, A₂ = 1, A₃ = 0
c) A₀ = 0, A₁ = 1, A₂ = 1, A₃ = 0
d) A₀ = 1, A₁ = 1, A₂ = 0, A₃ = 0
Question 3. The logical function realized by the circuit shown below is:
a) Y = P Q
b) Y = P + Q
c) Y = P Q¯
d) Y = P¯ + Q¯
Question 4. The number of select lines for 32 to 1 multiplexer is
a) 4
b) 5
c) 16
d) 6
Question 5. Identify the following circuit
a) 2 to 4 Decoder
b) 1:4 De-multiplexer
c) 4-2 Encoder
d) None
Question 6. Octal to Binary Encoders are made by three _____________ gates?
a) NOT gate
b) OR gate
c) AND gate
d) NAND gate
Question 7. In binary coded decimal (BCD) system, the decimal number 81 is represented as
a) 10000001
b) 10100010
c) 01010001
d) 00011000
Question 8. The excess-3 code of decimal 7 is represented by
a) 1001
b) 1100
c) 1011
d) 1010
Question 9. The logic function implemented by the circuit below is (ground implies a logic “0”)
a) F = AND (P, Q)
b) F = OR (P, Q)
c) F = XNOR (P, Q)
d) F = XOR (P, Q)
Question 10. The number (762)₁₀ would be represented in 8421 code or BCD code as
a) (0010 0110 0111)
b) (1111 1101 0101)
c) (0111 0110 0010)
d) (1000 0100 0010)
Question 11. The Boolean expression for the output of the multiplexer shown below is:
a) P ⊕ Q ⊕ R¯
b) P ⊕ Q ⊕ R
c) P + Q + R
d) P + Q + R¯
Question 12. The equivalent Gray Code of the binary number (1011)₂ is
a) (1101)
b) (1011)
c) (1110)
d) (1100)
Question 13. The number of (2 to 4) Decoders required to implement (4 to 16) Decoder is
a) 6
b) 4
c) 5
d) 7
Question 14. Perform the addition of (30)₁₀ and (15)₁₀ using the BCD scheme. The correct BCD result is,
a) 0100 0101
b) 0101 0100
c) 0011 0100
d) 1000 0101
Question 15. The Boolean function f implemented as shown in the figure using two input multiplexer is:
a) A B¯ C + A B C¯
b) A B C + A B¯ C¯
c) A¯ B C + A B C¯
d) A¯ B¯ C + A¯ B C¯
Digital Circuits Week 5 Nptel Assignment Answers (July-Dec 2024)
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Q1.Which logic gate is commonly used in the design of equality detection in a binary comparator?
A) AND gate
B) OR gate
C) XNOR gate
D) NOT gate
Answer: C) XNOR gate
Q2. Consider a 1-bit binary comparator with inputs A and B. The comparator has three outputs: A=B,
A>B. and A<B. Which of the following Boolean expressions correctly represents the output for |
ASB?
A) AB
B) AB
C) AXORB
D) AB
Answer: B) AB
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These are Digital Circuits Week 5 Nptel Assignment Answers
Q3.How many output lines does a 3-to-8 decoder have?
A) 3
B) 4
C) 8
D) 16
Answer: C) 8
Q4 ‘Which of the following statement is TRUE?
A) A and B represent Sum and Carry of Half adder respectively
B) A and B represent Sum and Carry of full Adder respectively
C) A and B represent Carry and Sum of Full adder respectively
D) A and B represent Carry and Sum of half adder respectively
Answer: C) A and B represent Carry and Sum of Full adder respectively
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Q5.How many 3-line-to-8 decoders are required to construct 4-line-to-16 decoders
A 1
B) 2
C) 3
D) 4
Answer: B) 2
Q6 Calculate GRAY code equivalent of the binary code Bs Bx Bi Bo=1110?
A) G3G21G1Go=1001
B) G3G2G1Go=1010
€) G3G2G1Go=1000
D) G3G21G1Go=1011
Answer : A) G3G21G1Go=1001
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Q7. Calculate BINARY equivalent of the GRAY code G3 G2 G1 Go=0010?
A) B3B2B1Bo=1110
B) B3B2B1Bo=1100
C) B3B2B1Bo=0011
D) B3BaB1Bo=0010
Answer: C) B3B2B1Bo=0011
Q8. What is the primary function of a decoder in digital circuits?
A) To store data
B) To encode data
c) To convert binary information from ‘n’ input lines to a maximum of 2″ unique outputs
D) To perform arithmetic operations
Answer: c) To convert binary information from ‘n’ input lines to a maximum of 2″ unique outputs
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Q9. How does a priority encoder resolve conflicts when multiple inputs are active?
A) It sums all inputs together
B) It encodes the input with the lowest binary value
c) It encodes the input with the highest priority
D) It randomly selects an input to encode
Answer: c) It encodes the input with the highest priority
Q10.‘What 1s the output Y for given 2X1 multiplexer?
A) 0
B) 1
c)y
D)y’
Answer: B) 1
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Q11.‘What is the output expression F for the following configuration?
A) F=xandy
B) F=x xor y
C) F=x+y
D) F=x xnor y
Answer : B) F=x xor y
Q12.Which input values I, Ir. Io. and Is of a 2×1 multiplexer will produce an output F equal to the
expression F=x.y?
a.
b.
c.
d.
Answer d.
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Q13. Find the output expression F. for the following circuit?
A) x’y’z+x’yz+xy’z+xyz’
B) x’y’z+xy’z+x’yz+xy’z’
C) x’y’z+x’yz+xy’z +xy’z
D) x’y’z’ +x’yz’ + xyz’ + xyz
Answer: B) x’y’z+xy’z+x’yz+xy’z’
Q14. What is the primary function of a multiplexer?
A) To encode data
B) To select one input from multiple inputs
C) To decode data
D) To store data
Answer: B) To select one input from multiple inputs
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Q15.‘How many select lines are needed for an 8×1 multiplexer?
A)2
B) 3
C) 4
D) 8
Answer: B) 3
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