Consider a Boolean expression given by 𝐹(𝑋, π‘Œ, 𝑍) = βˆ‘(3,5,6,7). Which of…

GATE Β· 2024 Β· CS Β· Set 1 Β· Computer Science & IT

Consider a Boolean expression given by 𝐹(𝑋, π‘Œ, 𝑍) = βˆ‘(3,5,6,7).

Which of the following statements is/are CORRECT?

  1. A.

    𝐹(𝑋, π‘Œ, 𝑍) = Ξ (0,1,2,4)

  2. B.

    𝐹(𝑋, π‘Œ, 𝑍) = π‘‹π‘Œ + π‘Œπ‘ +𝑋𝑍

  3. C.

    𝐹(𝑋, π‘Œ, 𝑍) is independent of inputΒ π‘Œ

  4. D.

    𝐹(𝑋, π‘Œ, 𝑍) is independent of input 𝑋

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