Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Transcribed Image Text:For this problem you are to design another sequence detector. Design constraints:
1. It must be a Moore machine.
9. Logic must be implemented with no more than two levels and use only AND gates and OR gates (and a
single inverter if you need to generate Y' from the Y input).
Please submit:
a) Your design for the State Graph, with documentation of what each State means (see item 8 above).
2. The sequence it must detect in a serial string of 1s and Os at input Y is "100".
3. You may assume that the values arriving at input Y are properly synchronized with the clock.
4. The output must be Z 1 when the prescribed sequence is detected, and 0 otherwise.
=
5. The circuit does not have to automatically reset when a 1 output occurs. (Return to initial state only
when appropriate for sequence detection.)
6. It is possible to implement the design with only four states and two flip-flops. Since we generally do not
want to implement designs that require more resources than are necessary, you MUST not use more than
two flip-flops in your design.
7. Name the flip-flops A and B, and use the following state-name definitions:
So (AB = 00), S1 (AB 01), S2 (AB = 10), S3 (AB = 11)
8.
Use So for the initial state. It is up to you to decide what each of the other state-names mean with respect
to the input sequence. Since you have some freedom of choice you must clearly articulate what each
state-name means. See
of the
lecture, for example.
b) Corresponding State Table
c)
e)
Corresponding Transition Table
d) Corresponding flip-flop Next-State Maps and expressions derived therefrom.
Circuit diagram
ps. The Mealy machine sequence detector described in lecture only required three states. But as mentioned in
an earlier lecture, it is typical for a Moore machine to require more states to accomplish the same task.
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