Table 1     Table 2     Table 3    Table 4     Table 5
  PS X|NS Z   PS X|NS Z   PS X|NS Z   PS X|NS Z   PS X|NS Z  
   a 0| b 0    a 0| c 1    a 0| c 0    a 0| a 0    a 0| c 1 
   a 1| c 1    a 1| b 0    a 1| a 0    a 1| b 0    a 1| b 0
   b 0| c 0    b 0| c 0    b 0| a 1    b 0| c 0    b 0| a 1
   b 1| a 1    b 1| a 1    b 1| b 0    b 1| b 1    b 1| b 0
   c 0| a 0    c 0| b 0    c 0| b 0    c 0| b 0    c 0| a 0
   c 1| b 0    c 1| a 0    c 1| c 1    c 1| a 0    c 1| c 1  
 

1. Table 1
2. Table 2
3. Table 3
4. Table 4
5. Table 5
   
   
   
   

2 is CORRECT. Examining the transitions out of state a reveals that only tables (2) or (5) could be correct. Examining the transitions out of state b indicates that table (5) is definitely wrong. Further examination of the transistions out of states c and d confirms that table (2) is the correct state table.

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