Multiple choice

Define the connective * for the Boolean variables X and Y as: X * Y = XY + X'Y'. Let Z = X *Y. Consider the following expressions P, Q and R.

$\pi P$ : X = Y * Z Q : Y = X * Z R : X *Y * Z = 1

Which of the following is TRUE?

  1. Only P and Q are valid.

  2. Only Q and R are valid.

  3. Only P and R are valid.

  4. All P, Q, R are valid.

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A Correct answer
Explanation