Computer Architecture Week 7 Assignment Nptel Answers 2024

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Computer Architecture Nptel Week 7 
Assignment Answers image
Computer Architecture Week 7 Assignment Solutions

Computer Architecture Nptel Week 7 Assignment Answers (July-Dec 2024)


  1. The result of the following addition is __.
    (1101.101)₂ + (1011.11)₂
    A) (11001.111)₂
    B) (11001.011)₂
    C) (11000.011)₂
    D) (1001.011)₂

Answer: B) (11001.011)₂


  1. The expression for Cout of a full adder is __.
    A) Cout = a.b
    B) Cout = a.b + a.cin + b.cin
    C) Cout = a.b.cin
    D) Cout = a’.b + a’. Cin + b.cin

Answer: B) Cout = a.b + a.cin + b.cin


  1. Consider a function f(n) = 212n^55 + 24n^28 + 32. What is its asymptotic time complexity?
    A) f(n) = O(n^28)
    B) f(n) = O(n^55)
    C) f(n) = O(n^83)
    D) f(n) = O(1)

Answer: B) f(n) = O(n^55)


  1. The total time complexity of the carry-select adder for performing an n-bit addition is __.
    A) O(n)
    B) O(sqrt(n))
    C) O(log n)
    D) O(n log n)

Answer: B) O(sqrt(n))


  1. In a Booth multiplier, if the bit pair consisting of the current and the previous multiplier bit is (0,1) then we need to _.
    A) Subtract the multiplicand
    B) Add the multiplicand
    C) Subtract the multiplier
    D) Do nothing

Answer: B) Add the multiplicand


  1. Consider a carry lookahead adder, let the inputs be Ai = 1, Bi = 0 and the carry input Cin = 1. What are the values of gi, pi and Cout?
    A) gi = 1, pi = 1 and Cout = 0
    B) gi = 0, pi = 0 and Cout = 0
    C) gi = 0, pi = 1 and Cout = 1
    D) gi = 1, pi = 1 and Cout = 1

Answer: C) gi = 0, pi = 1 and Cout = 1


  1. In a ripple carry adder circuit for adding two 8-bit numbers, we need to have _ full adders and _ half adder(s)?
    A) 7, 1
    B) 0, 8
    C) 2, 6
    D) 6, 2

Answer: A) 7, 1


  1. The Wallace tree multiplier uses a _ in the last stage.
    A) Ripple Carry Adder
    B) Carry Select Adder
    C) Carry Lookahead Adder
    D) Carry Save Adder

Answer: D) Carry Save Adder


  1. How many levels are there in a Wallace tree multiplier?
    A) log3/2(n)
    B) n/2
    C) log3/2(n) + 1
    D) n^2

Answer: C) log3/2(n) + 1


  1. Select the correct statement/s. Choose the most appropriate option.
    A) The asymptotic time complexity of the Wallace tree multiplier is O(log(n)).
    B) The Booth multiplier takes advantage of a continuous run of 1s to speed up the multiplication process.
    C) In a carry select adder, sqrt(n) is the optimal block size for adding two n-bit numbers.
    D) All of the options

Answer: D) All of the options


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