11. Which of the following relationships represents the dual of the Boolean property x + x'y = x + y Choose the best answer.

  1. x'(x + y') = x'y'
  2. x(x'y) = xy
  3. x*x' + y = xy
  4. x'(xy') = x'y'
  5. x(x' + y) = xy

5 is CORRECT. As explained earlier, the dual is obtained by interchanging all occurrences of the symbols (*,+,0,1) with with the symbols (+,*,1,0). However, in this case the implicit AND term x'y = x'* y is transformed to (x'+ y) before ANDing it with x; otherwise, the incorrect response 3) may be accidently chosen.

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