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Question

A universal logic gate can implement any Boolean function by connecting sufficient number of them appropriately. Three gates are shown.



Which one of the following statements is TRUE?

A
None of the gates shown is a universal gate.
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B
Gate 1 is a universal gate.
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C
Gate 3 is a universal gate.
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D
Gate 2 is a universal gate.
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Solution

The correct option is C Gate 3 is a universal gate.
Universal gate is a gate by which every other gate can be realized.
Gate 1 and Gate 2 are basic gates and can not be used as universal gates.
Gate 3 is universal gate.
this is because,
if we ground Y, it gives output ¯X.
Now, by connecting this output at the terminal of this gate, we will get X+Y.
Similarly, X.Y can also be obtained.

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