61. In Boolean algebra if F = (A + B). ( A + C), then—

1. 1. F = AB + AC

   
   
   

   2. F = AB + A B

   
   
   

   3. F = AC + AB

   
   
   

   4. F = AA + AB

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: C

   NA

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62. The Boolean expression Y Z + X Z + X Z is logically equivalent to—

1. 1. Y Z + X

   
   
   

   2. YZX + Y Z X

   
   
   

   3. YZ + XZ + XY

   
   
   

   4. XY Z + X Y Z + X Y Z + XY Z + X Y Z

   
   
   

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1. View Hint View Answer Discuss in Forum

   F = Y Z + X Z + X Z
   From K-map, we get F = X + Y Z
   Alternative method
   F = Y Z + X Z + XZ
   or F = Y Z + X ( Z + Z)
   or F = Y Z + X

   
   

   Correct Option: A

   F = Y Z + X Z + X Z
   From K-map, we get F = X + Y Z
   Alternative method
   F = Y Z + X Z + XZ
   or F = Y Z + X ( Z + Z)
   or F = Y Z + X

   
   

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63. Which of the following can be used as an inverter?

1. 1. AND gate

   
   
   

   2. OR gate

   
   
   

   3. NOR gate

   
   
   

   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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64. In an all NOR gate realization of a combinational circuit all EVEN and ODD level gate behaves like—

1. 1. OR and AND

   
   
   

   2. AND and OR

   
   
   

   3. OR and NOT

   
   
   

   4. NOR and AND

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: B

   NA

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65. Simplified form of ZX + Z XY is—

1. 1. Z ( X + Y)

   
   
   

   2. Z + Y

   
   
   

   3. Z (X + Y)

   
   
   

   4. ZY + X

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given expression,
   F = ZX + Z XY
   or F = Z (X + XY)
   or F = Z (X + Y) (Since X + XY = X + Y)

   Correct Option: C

   Given expression,
   F = ZX + Z XY
   or F = Z (X + XY)
   or F = Z (X + Y) (Since X + XY = X + Y)

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