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The state diagram shown up corresponds to a circuit implementation that has two inputs: clock
and F and uses four flip-flops with outputs D, C, B, A. The circuit implemented may well
corresponds to a: Four bits right/left shift register
Solution
Answer is Modulo 16 UP/DOWN Counter
It counts from 0 to 15 in both UP and DOWN.
if F=0 , It counts from 0 to 15
if F=1 , It counts from 15 to 0

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