ISRO Computer Science (CSE) 2009 - Question 20

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Consider the following boolean function of four variables f(w, x, y, z) = Σ(1, 3, 4, 6, 9, 11, 12, 14), the function is

  • A. Independent of one variable
  • B. Independent of two variables
  • C. Independent of three variables
  • D. Dependent on all variables

Answer: B. Independent of two variables

Explanation: The function simplifies to x XOR z (or x'z + xz'). It is independent of w and y.

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