You have to design a synchronous 3-bit (CBA) up/down counter that can count up through the states (001) → (010)_→ (100) → (101) and recycles. The counter should contain a direction input which forces it to count down on a LO control signal. It should also contain a stop/go control that will freeze the counter when this signal is HI. If any unused states are encountered, the counter should go to (001). (a) Sketch the state transition diagram for this counter.

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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You have to design a synchronous 3-bit (CBA) up/down counter that can count up through
the states (001) → (010) - (100) → (101) and recycles. The counter should contain a
direction input which forces it to count down on a LO control signal. It should also contain a
stop/go control that will freeze the counter when this signal is HI. If any unused states are
encountered, the counter should go to (001).
(a) Sketch the state transition diagram for this counter.
Transcribed Image Text:You have to design a synchronous 3-bit (CBA) up/down counter that can count up through the states (001) → (010) - (100) → (101) and recycles. The counter should contain a direction input which forces it to count down on a LO control signal. It should also contain a stop/go control that will freeze the counter when this signal is HI. If any unused states are encountered, the counter should go to (001). (a) Sketch the state transition diagram for this counter.
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