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Saturday, April 4, 2015

CSE JRF THEORY OF COMPUTATION

CONSTRUCT DFA:


  • DIVISIBLE EITHER 2 OR 3
NO OF STATES LCM 92,3)=6
=> {0,1,2,3,4,5}
FINAL STATES= [NO OF DIVISIBLE BY 2] U [NO OF DIVISIBLE 3]
                            = [0,2,4] U [3]
                           = [0,2,3,4]
q0 q2 q3 q4


  • BY 2 BUT NOT BY 3    FINAL STATE [2, 4]
q2 q4


  • BY 3 BUT NOTT BY 2  FINAL STATE [3]
q3

  • NOT 2 OR NOT 3  FINAL STATE [1,5]
q1 q5

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