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Date Posted: 5/15/2008 1:31:30 AM  Status: Live
Please Help
Course Textbook Chapter Problem
Digital Circuits N/A N/A N/A
Question Details:
Reduce the number of states
 
 
 
 

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Date Posted: 5/16/2008 8:04:24 AM  Status: Live
Asker's Rating: None Provided    Moderator's Rating: N/A
Response:
      Present state            Next State                   Output
    
                            A    B    C     D    E     F          Z
    
                          000 001 010 011 100 101    
     
        I - 00          000 001 000 101 000 001      0 0 1 0 0 0
        J - 01          001 000 011 010 011 011      1 1 0 1 1 1
       K - 10          100 101 100 000 100 101      1 1 0 0 1 1

 
 
The State Table is further can be written as
          Present state         Next state      Output
              y1y2x1x2x3         X1X2X3             Z
            0  0 0 0  0             0  0   0           0        
            0  1 0 0  0             0  0   1           1   
            1  0 0 0  0             1  0   0           1   
            0  0 0 0  1             0  0   1           0   
            0  1 0 0  1             0  0   0           1   
            1  0 0 0  1             1  0   1           1   
            0  0 0 1  0             0  0   0           1   
            0  1 0 1  0             0  1   1           0   
            1  0 0 1  0             1  0   0           0   
            0  0 0 1  1             1  0   1           0   
            0  1 0 1  1             0  1   0           1   
            1  0 0 1  1             0  0   0           0   
            0  0 1 0  0             0  0   0           0   
            0  1 1 0  0             0  1   1           1   
            1  0 1 0  0             1  0   0           1   
            0  0 1 0  1             0  0   1           0   
            0  1 1 0  1             0  1   1           1   
            1  0 1 0  1             1  0   1           1   
 
   The state table is reduced further by using K-Map and take the rest which are not involved in the above table can be taken as don't care conditions.
 
 
Hope this helps you............



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