Let ⊕ and ⊙ denote the Exclusive OR and Exclusive NOR operations,…

GATE · 2018 · CS · Computer Science & IT

Let ⊕ and ⊙ denote the Exclusive OR and Exclusive NOR operations, respectively. Which one of the following is NOT CORRECT

  1. A.

    P⊕Q‾=P⊙Q\overline{P \oplus Q} = P \odot Q

  2. B.

    P‾⊕Q=P⊙Q\overline{P} \oplus Q = P \odot Q

  3. C.

    P‾⊕Q‾=P⊕Q\overline{P} \oplus \overline{Q} = P \oplus Q

  4. D.

    P⊕P‾⊕Q=(P⊙P‾⊙Q‾)P \oplus \overline{P} \oplus Q = ( P \odot \overline{P} \odot \overline{Q})

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