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The dual ofthe switching function x + yz is:

  • A.x+yz
  • B.x̄ + ȳz̄
  • C.x(y+z)
  • D.x̄(ȳ + z̄)

Answer: C

Correct answer: x(y+z)

The dual of an expression is formed by exchanging AND with OR and 0 with 1, leaving the variables uncomplemented. Applying that to \( x + yz \) turns the outer OR into AND and the inner AND into OR, giving \( x(y+z) \). Complementing the variables would give the complement, not the dual.

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