41. Boolean expression for the output of XNOR (Equivalent) logic gate with inputs A and B, is

1. 1. AB + AB

   
   
   

   2. A B + AB

   
   
   

   3. (A + B)(A + B)

   
   
   

   4. (A + B)(A + B)

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: C

   NA

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42. The dual of the Boolean theorem A. (B + C) = A.B + A.C is

1. 1. A + (B + C) = A.B + A.C

   
   
   

   2. A. (B + C) = (A + B) (A + C)

   
   
   

   3. A + B.C = (A + B) (A + C)

   
   
   

   4. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: C

   NA

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43. Minimized expression for the K-map shown below is
    

1. 1. A B CD + A C D

   
   
   

   2. A B C D + A C D + A B C

   
   
   

   3. B C D + C D + A B C

   
   
   

   4. B C D + C D + B C

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: D

   NA

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44. Assuming that only X and Y logic inputs are available and their complements X and Y are not available, then what is the minimum number of two-input nand gates require to implement X ⊕ Y?

1. 1. 2

   
   
   

   2. 3

   
   
   

   3. 4

   
   
   

   4. 5

   
   
   

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1. View Hint View Answer Discuss in Forum

   

   Correct Option: D

   

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45. A combinational circuit has inputs A, B and C and its Karnaugh Map is as shown. The output of the circuit is given by
    

1. 1. (AB + AB)C

   
   
   

   2. (AB + AB)C

   
   
   

   3. ABC

   
   
   

   4. A ⊕ B ⊕ C

   
   
   

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1. View Hint View Answer Discuss in Forum

   Output = A BC + A B C + ABC + A BC
   = C (A B + A B) + C (AB + A B)
   = A ⊕ B ⊕ C

   Correct Option: D

   Output = A BC + A B C + ABC + A BC
   = C (A B + A B) + C (AB + A B)
   = A ⊕ B ⊕ C

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