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⟩ Describe a finite state machine that will detect three consecutive coin tosses (of one coin) that results in heads?

State machine to detect 3 consecutive heads appearing in

multiple tosses;

state 1 : initial state

As long as the toss results in TAIL , in this state

If the toss results in HEAD go to state 2

state 2 : HEAD1 resulted

in the next toss , If TAIL is resulted go to

the initial state1 . If HEAD is resulted go to

state3.

state3 : HEAD2 is resulted

in the next toss , If TAIL is resulted go to

the initial state1 . If HEAD is resulted go to

state4.

state4 : HEAD3 is resulted and this is the final state

As long as the HEAD results in each next toss

be in state 4. If any toss results in TAIL go to

initial state1

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