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a
b
a 1
a 1
1 / 0
0 / 1
1 / 1
0 / 0
0 / 0
a 2 ,c 4
a 2 ,b 4
a 2 ,c 4
0 / 1
0 / 1
0 / 0
0 / 0
1 / 0
0 / 1
1 / 0
0 / 0
1 / 0
a 1 ,b 3
dc
dc
a 1 ,b 3
1 / 1
1 / 0
1 / 1
1 / 1
1 / 1
1 / 1
0 / 1
0 / 1
0 / 1
0 / 1
c 3
b 3
c 3
b 3
1 / 1
1 / 1
c
d
a 1
a 1
1 / 0
1 / 0
0 / 1
0 / 1
0 / 0
0 / 0
a 2 ,b 4
a 2 ,c 4
a 2 ,b 4
a 2 ,c 4
0 / 1
0 / 1
0 / 0
1 / 0
1 / 0
1 / 0
1 / 0
0 / 1
0 / 1
1 / 0
1 / 0
a 1 ,b 3
dc
a 1 ,b 3
a 1 ,c 3
dc
−/−
−/−
1 / 1
0 / 1
1 / 1
0 / 0
c 3
b 3
1 / 1
Fig. 3.9
Illustration of Example 3.26 .( a )-( b ) Moore FSM solutions; ( c )-( d ) Non-Moore FSM
solutions
M A ˘ M X
M C ;
(3.5)
or,
M A ˘ M X
Š M C ;
(3.6)
whose unknown is an FSM M X over inputs I 2 [ U and outputs V
[ O 2 . Sometimes
D O 1 [ O 2 will be used. 10
the shortened notation I
D I 1 [ I 2 and O
10 Equations over more complex topologies and with respect to other input and output alphabets
can be solved similarly, by setting up the appropriate compositions, as remarked already when
discussing synchronous equations.
 
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