GATE EC 2015 Set 3 — Question 47
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Digital Circuits → Combinational Logic → Boolean Algebra & Identities
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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?
Correct answer
(C) Gate 3 is a universal gate.
Solution
A set of gates is universal if it can implement the NOT operation and either the AND or OR operation.
1.Gate 1 (OR): . Cannot implement NOT. Not universal.
2.Gate 2 (AND): . Cannot implement NOT. Not universal.
3.Gate 3: .
- To implement NOT: Set , then .
- To implement OR: Use the NOT implementation on , then .
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