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UGC NET CSE | August 2016 | Part 2 | Question: 9

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Which of the following logic operations is performed by the following given combinational circuit ?

  1. EXCLUSIVE-OR
  2. EXCLUSIVE-NOR
  3. NAND
  4. NOR
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$f=(X+(X+Y)')' + (Y+(X+Y)')'$

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$\implies f=X'(X+Y)+Y'(X+Y)$

$ \implies f=XX'+X'Y+Y'X+Y'Y$

$ \implies f= 0+X'Y+Y'X+0$

$\implies f=X \oplus Y$

Option $(A)$ is correct.
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