10. What is the logic equation for the output Z for the state diagram of the previous question if the following state assignments are given: a = 00, b = 01, c = 10, d = 11. (Note: these are the Y1Y2 codes for the states a, b, c, d)

  1. Z = X'Y1'Y2'
  2. Z = XY1'Y2'
  3. Z = XY1'Y2
  4. Z = X'Y1Y2'
  5. Z = XY1Y2

5 is CORRECT. Since Z = 1 when the present state is d (Y1 = 1, Y2 = 1) and X = 1, Z must be XY1Y2

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