Digital Circuits Week 2 Nptel Assignment Answers

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Digital Circuits Week 2 Nptel Assignment Answers

Digital Circuits Week 2 Nptel Assignment Answers (July-Dec 2025)

Question 1. What is the 32-bit IEEE 754 single-precision floating-point binary representation of the decimal number 23?
a) 0 10000011 01110000000000000000000
b) 0 11000011 01111000000000000000000
c) 1 10000011 01110000000000000000000
d) 0 11000011 01110000000000000000000

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Question 2. Express –45.75 in a 14-bit floating-point format (1 sign bit, 5-bit exponent with bias 15, 8-bit mantissa):
a) 11010101111000
b) 11010001111000
c) 11011001111000
d) 11011100111000

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Question 3. Which of the following represents +0 and -0 distinctly?
a) Both sign magnitude and 1’s complement representations
b) Both sign magnitude and 2’s complement representations
c) 1’s complement representations only
d) 2’s complement representations only

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Question 4. Given a 32-bit IEEE 754 number, the decimal value closest is:
a) 5.25
b) 6.75
c) 5.75
d) 6.25

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Question 5. For F(A,B,C,D)= AB+ACD, which of the following contains all minterms?
a) {m11, m12, m13, m14}
b) {m11, m12, m13, m14, m15}
c) {m12, m13, m14, m15}
d) {m8, m9, m11, m15}

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Question 6. Decimal equivalent of (11000000101000…) IEEE 754 single-precision:
a) -5.05
b) -5.02
c) -5.0
d) -5.1

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Question 7. F(A,B,C)=Σ(1,2,4,6). Its Product of Maxterms form:
a) Π(0, 3, 5, 7)
b) Π(1, 2, 4, 6)
c) Π(0, 1, 2, 3)
d) Π(3, 5, 7)

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Question 8. Sum of 12 + 1.25 in 14-bit floating-point (1 sign, 5-bit exponent, 8-bit mantissa):
a) 01001010101000
b) 01001100000000
c) 01000111101000
d) 01001110101000

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Question 9. For F(x,y,z)=Σ(1,2,4,6), equivalent Product of Sums:
a) (x + y + z)(x + ȳ + z)(x̄ + y + z)(x̄ + ȳ + z)
b) (x̄ + ȳ + z̄)(x̄ + y + z̄)(x + ȳ + z̄)(x + y + z̄)
c) (x + y + z̄)(x + ȳ + z̄)(x̄+ y + z̄)(x̄+ ȳ + z̄)
d) (x + y + z)(x + ȳ + z)(x̄ + y + z̄)(x̄ + ȳ + z)

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Question 10. Simplified Boolean function of F(A,B,C)=A B̄ C + A B C̄ + A B C + A B̄ C̄:
a) A
b) A(B + C)
c) A(C + B)
d) A(B ⊕ C)

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Digital Circuits Week 2 Nptel Assignment Answers (July-Dec 2024)

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Q1. Which of the following field is not present in the IEEE 754 floating-point representation?
A) Sign
B) Exponent
C) Significand
D) Base

Answer: D) Base


Q2. Which field in the floating point representation determines the range of values that can be represented?
A) Sign field
B) Exponent field
C) Significant field
D) Base field

.

Answer: B) Exponent field


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These are Digital Circuits Week 2 Nptel Assignment Answers


Q3. What is the IEEE 754 single-precision represenation of the decimal number -3.75?
A) C070000016
B) C060000016
C) C0700000016
D) B070000016

Answer: A) C070000016


Q4. What is the IEEE 754 single-precision represenation of the decimal number -1.25?
A) 1 0111 1111 0100 0000 0000 0000 0000 0002
B) 00111 1111 0100 0000 0000 0000 0000 0002
C) 10111 1111 1100 0000 0000 0000 0000 0002
D) 1 0111 1110 0100 0000 0000 0000 0000 0002

Answer: A) 1 0111 1111 0100 0000 0000 0000 0000 0002


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These are Digital Circuits Week 2 Nptel Assignment Answers


Q5. What value does the IEEE 754 single precision representation 7F80000016 corresponds to?
A) 0
B) NAN
C) Infinity
D) 1

Answer: C) Infinity


Q6.What value does the IEEE 754 single precision representation 7FC0000016 corresponds to?
A) 0
B) NAN
C) Infinity
D) 1

Answer: B) NAN


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Q7. What is the IEEE 754 double-precision represenation of the decimal number 0.75?
A) 2FE8 0000 0000 000016
B) 3FE8 0000 0000 000016
C) 2FE8 0000 0000 000016
D) 3FE9 0000 0000 000016

Answer: B) 3FE8 0000 0000 000016


Q8. Which of the following expression is FALSE?
A) 0 or A = A
B) 0 and A = A
C) 1 or A = 1
D) 1 and A = A

Answer: B) 0 and A = A


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Q9. What is the standard SOP representation of AB+AC?
A) ABC + ABC’ + AB’C
B) A’BC + ABC’ + AB’C
C) ABC + A’BC’ + AB’C
D) ABC + ABC’ + AB’C’

Answer: A) ABC + ABC’ + AB’C


Q10. The expression x + yz = (x + y)(x + z) corresponds to
A) De Morgan’s Theorem
B) The associative law
C) The commutative Law
D) The distributive law

Answer: D) The distributive law


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Q11. The Boolean expression P.P’.Q in Boolean algebra is also called as
A) Fallacy
B) Tautology
C) Neither Tautology nor Fallacy
D) De Morgan’s law

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Answer: A) Fallacy


Q12. The expression (A + AB+ ABC + ABCD + ABCDE + ……) simplifies to
A) 1
B) A
C) A+AB
D) A’

Answer: B) A


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Q13. Which of the following Boolean algebraic expressions is incorrect?
A) A+ AB = A + B
B) A+ AB = B
C) (A+B)(A + C) = A + BC
D) (A+B)(A + B) = A

Answer: B) A+ AB = B


Q14. The following bit pattern represents a 32 bit IEEE 754 single precision floating point format:
0 10000110 10100000…00
The value of the number in decimal form is
A) -10
B) -208
C) 208
D) 200

Answer :C) 208


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These are Digital Circuits Week 2 Nptel Assignment Answers


Q15. What is the significand size in IEEE-754 double precision standard?
A) 23
B) 11
C) 32
D) 52

Answer: D) 52


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These are Digital Circuits Week 2 Nptel Assignment Answers

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