7. Where should the left and right arrows be directed in order that the state diagram illustrated detect the input sequence X = 0011 with no overlap?

  1. Left: a Right: c
  2. Left: b Right: b
  3. Left: b Right: a
  4. Left: c Right: b
  5. Left: c Right: a

3 is WRONG. The right arrow should return to state a because it cannot overlap itself. Thus, the right arrow is correct. However, the left arrow represents a bad sequence X=000 and should go to State c where the last 2 zeros can be used as the first 2 zeros of a good sequence X=0011. toward a new 0011 sequence. Go to State c.

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