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Which of the following set of components is sufficient to implement any arbitrary Boolean function?

  1. $XOR$ gates, $NOT$ gates
  2. $AND$ gates, $XOR$ gates and $1$
  3. $2$ to $1$ multiplexer
  4. Three input gates that output $(A.B)+C$ for the inputs $A, B, C$

1 Answer

1 1 vote
  • a⊕1=  a'
  • a'  ⊕1=a
  • Thus XOR ⊕ and  1 can make NOT gate
  • AND is given

{AND, NOT} is functionally complete.

Answer is B

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