1. The logic function ƒ = (x . y) + (x.y) is the same as

1. 1. ƒ = (x + y) (x + y)

   
   
   

   2. ƒ = xy + xy

   
   
   

   3. ƒ = (x . y).(x. y)

   
   
   

   4. none of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   ƒ = x ⊕ y = x ⊙ y = xy + xy

   Correct Option: B

   ƒ = x ⊕ y = x ⊙ y = xy + xy

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2. The logic circuit given below converts a binary code Y₁ Y₂ Y₃ into
   

1. 1. Excess-3 code

   
   
   

   2. Gray code

   
   
   

   3. BCD code

   
   
   

   4. Hamming code

   
   
   

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1. View Hint View Answer Discuss in Forum

   In Gray code successive Code words differ by the complementation of a single bit and this logic has been complemented in the given circuit.

   Correct Option: B

   In Gray code successive Code words differ by the complementation of a single bit and this logic has been complemented in the given circuit.

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3. Venn diagram representing the Boolean expression A + (A. B) is

1. 1. 

   
   
   

   2. 

   
   
   

   3. 

   
   
   

   4. 

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: A

   NA

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4. When signed numbers are used in binary arithmetic, then which of the following notations would have unique representation for zero?

1. 1. Sign-magnitude

   
   
   

   2. 1’s complement

   
   
   

   3. 2’s complement

   
   
   

   4. 9’s complement

   
   
   

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1. View Hint View Answer Discuss in Forum

   In sign-magnitude, 1’ s complement, + 0 and – 0 represented differently but in 2’s complement there is single notation for zero.

   Correct Option: C

   In sign-magnitude, 1’ s complement, + 0 and – 0 represented differently but in 2’s complement there is single notation for zero.

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5. The minimal product-of-sums function described by the K-map given in the figure is, φ don’t care
   

1. 1. A'C'

   
   
   

   2. A' + C"

   
   
   

   3. A + C

   
   
   

   4. AC

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: A

   NA

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