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Category > Statistics Posted 10 May 2017 My Price 15.00

A Moore sequential circuit has a single input (X) and a single

 

15.12  A Moore sequential circuit has a single input (X) and a single output (Z).Z is 1if the most recent four inputs contained exactly two consecutive 1's or exactly two consecutive o's, i.e., the input sequences 0011, 1001, 1100, 0110, 0100, 1011, and 1101. (The initial stateS0 acts as if the preceding inputswere all o's.) The following state tablewas constructed using a sufficient number of states to remember the last four inputs and the output for each state assigned according to the sequence remembered by that state.


 

 

(a)    Reduce the table to a minimum number of states. (Hint: First use the simple example of state equivalence used in Section 1 5. 1to eliminate as many states as possible.)

(b)   For each state in the reduced table, give the input pattern remembered by that state.

(c)   Convert the reduced table from Part

(a) into a Mealy state table that produces the same outputs.

(d) Reduce the Mealy state table to a minimum number of states.

 

 

Input

Pattern

Present

State

Next State

X = O X = 1

Output

z

0000

0001

0010

0011

0100

0101

0110

0111

1000

1001

1010

1011

1100

1101

1110

1111

So

s,

52

53

s.

Ss 56

s,

Sa Sg S,o

s,,

S,2 513

s,.

S,s

So    s,

52    53

s.  Ss

56    s,

Sa    Sg

S,o    s,,

S,2   513

s,. S,s

So    s,

52     53

s.  Ss

56    s,

Sa    Sg

S,o    s,,

S,2   513

s,. S,s

0

0

0

1

1

0

1

0

0

1

0

1

1

1

0

0

 

 

 
 

Answers

(8)
Status NEW Posted 10 May 2017 08:05 AM My Price 15.00

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