Problem

The plus (+) indicates a more advanced problem and the asterisk (*) indicates thata soluti...

The plus (+) indicates a more advanced problem and the asterisk (*) indicates thata solution is available on the Companion Website for the text.

+The state table for a 3-bit twisted ring counter is given in Table. This circuit has no inputs, and its outputs are the un complemented outputs of the flip-flops. Since it has no inputs, it simply goes from state to state whenever a clock pulse occurs. It has an asynchronous reset that initializes it to state 000.

TABLE State Table for Problem

Present State

Next State

ABC

ABC

000

100

100

110

110

111

111

011

011

001

001

000

(a) Design the circuit using D flip-flops and assuming that the un specified next states are don’t-care conditions.


(b) Add the necessary logic to the circuit to initialize it to state 000 on power-up master reset.


(c) In the subsection “Designing with Unused States” of Section 4-5, three techniques for dealing with situations in which a circuit accidentally enters an unused state are discussed. If the circuit you designed in parts(a) and (b) is used in a child’s toy, which of the three techniques given would you apply? Justify your decision.


(d) Based on your decision in part (c), redesign the circuit if necessary.


(e) Repeat part (c) for the case in which the circuit is used to control engine on a commercial airliner. Justify your decision.


(f) Repeat part (d) based on your decision in part (e).

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