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Construct a finite-state machine that gives an output of 1 if the number of input symbols...

Construct a finite-state machine that gives an output of 1 if the number of input symbols read so far is divisible by 3 and an output of 0 otherwise. (NOTE: a finite-state machine with output).

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Answer #1

ANSWER

  • The machine needs three states.
  • It begins in state zero, with yield 1.
  • Any information sends it to state one, with yield 0.
  • Another information will send it to state two, with yield 0.
  • From state two, any information sends it back to state zero, with output1.
  • Here I've drawn a twofold hover for the acknowledge state (yield 1) andsingle hovers for the others (yield 0).
  • I have an approaching arrowfor the beginning state, which is likewise the acknowledge state, since 0 isdivisible by 3.
  • I didn't try to mark the edges since we don'tcare what the information is, yet you could name them each of the "0,1" to bethorough.
  • Utilize whatever position your teacher likes, ofcourse.
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