56. Consider the following expressions
    1. Y = ƒ (A, B, C, D) = ∑ (1, 2, 4, 7, 8, 11, 13, 14)
    2. Y = ƒ (A, B, C, D) = ∑ (3, 5, 7, 10, 11, 12, 13, 14)
    3. Y = ƒ (A, B, C, D) = ∑ (0, 3, 5, 6, 9, 10, 12, 15)
    4. Y = ƒ (A, B, C, D) = ∑ (0, 1, 2, 4, 5, 8, 9, 15)
    Which of these expressions are equivalent to the expression Y = A ⊕ B ⊕ C ⊕ D?

1. 1. 2 and 3

   
   
   

   2. 1 and 4

   
   
   

   3. 2 and 4

   
   
   

   4. 1 and 3

   
   
   

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   NA

   Correct Option: D

   NA

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57. For the circuit shown in figure
    
    

1. 1. F = A + B

   
   
   

   2. F = AB

   
   
   

   3. F = A + B

   
   
   

   4. F = AB

   
   
   

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   NA

   Correct Option: A

   NA

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58. For the circuit shown in figure, output F = 0, when
    
    

1. 1. both ƒ₂ and ƒ₃ are 1

   
   
   

   2. both ƒ₂ and ƒ₃ are 0

   
   
   

   3. ƒ₂ is 1 and ƒ₃ is zero

   
   
   

   4. ƒ₂ is 1 and ƒ₃ is one

   
   
   

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   NA

   Correct Option: A

   NA

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59. For the circuit shown in the figure below, what is the frequency of the output Q?
    

1. 1. Twice the input clock frequency

   
   
   

   2. Half the input clock frequency

   
   
   

   3. Same as the input clock frequency

   
   
   

   4. Inverse of the propagation delay of the FF

   
   
   

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   NA

   Correct Option: B

   NA

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60. The following arrangement of master-slave flip flopshas the initial state of P, Q as 0, 1 respectively.
    
    Clock After three clock cycles, the output state P, Q respectively are

1. 1. 1,0

   
   
   

   2. 1,1

   
   
   

   3. 0,0

   
   
   

   4. 0,1

   
   
   

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   NA

   Correct Option: A

   NA

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