Microsoft Word - Digital Logic Design v_4_6a

(lily) #1
After the application of previous two rules we will end up with the following table.

Note: At this stage, many of the states have been eliminated.

 Step 4)
We go through the chart repeatedly until a complete pass can be done through the chart
without making any additional X markings.



  • First Marking Pass – we are looking for cases where the dependencies are not valid.


For example, for States S0 and S1 to be equivalent, we must have S1 – S3 equivalent
and S2 –S4 equivalent.

Since the cells relating S2 and S4 are crossed out, then the S0 and S1 cell must be
crossed out. Continue this process (top-down and left to right) through the chart.

S 1 – S 3


S 2 – S 4


S 1 – S 5


S 2 – S 6


S 1 – S 3


S 2 – S 4


X


S 1 – S 3


S 2 – S 4


X


S 1


S 2


S 3


S 4


S 5


S 6


S 3 – S 5


S 4 – S 6


S 3 – S 3


S 4 – S 4


X


S 3 – S 3


S 4 – S 4


X


S 5 – S 3


S 6 – S 4


X


S 5 – S 3


S 6 – S 4


X


X


S 3 – S 3


S 4 – S 4


X


X


S 5 – S 5


S 6 – S 6 X


S 0 S 1 S 2 S 3 S 4 S 5


Mean S0  S1 and S1  S3 when X=0.
Mean S0  S2 and S1  S4 when X=1.
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