GATE EC 2014 Set 4 — Question 25
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Digital Circuits → Combinational Logic → Boolean Algebra & Identities
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Question
In the circuit shown in the figure, if , the expression for is
Correct answer
(A) Y = A B + A B
Solution
From the figure, with :
1.NOR gate: .
2.OR gate with inputs and the NOR output: (since ).
3.AND gate: .
4.OR gate combining steps 2 and 3: , which is (XNOR).
5.Inverter: .
6.Final NAND gate with inputs and the XNOR output:
Checking the truth table () rules out , and .Answer: (A) Continue learning with Success Tracker
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