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DFA Example : Construct Minimal Finite Automata That Accepts All Strings Of 0’s & 1’s Such That a) |w|≅0 (mod 2), b) |w|≅1 (mod 2), c) |w|≅2 (mod 3)

Construct Minimal Finite Automata That Accepts All Strings Of 0's & 1's Such That a) |w|≅0 (mod 2), b) |w|≅1 (mod 2), c) |w|≅2 (mod 3) |w|= Length Of 'w' String a) |w|≅0 (mod 2) Means If I Divide Length Of String With '2' I Should Get Remainder '1' 'ε' Is Length '0' String,

Construct Minimal Finite Automata That Accepts All Strings Of 0’s And 1’s Such That i) η0|w|≅0 (mod 3) ii) η0|w|≅0 (mod 4)

Construct Minimal FA That Accepts All Strings Of 0's And 1's Such That i) η0|w|≅0 (mod 3) ii) η0|w|≅0 (mod 4) Σ={0,1} i) η0|w|≅0 (mod 3) // η0 Is No. Of Zero's, |w| Is In The String, If I Divide With '3', I'll Get Remainder '0'. Means, The No. Of 0's In The String,If I Divide

DFA Example : Construct Minimal Finite Automata That Accept All The Strings Of 0’s And 1’s Such That Exactly Two 0’s

Construct Minimal Finite Automata That Accept All The Strings Of 0's And 1's Such That i) Exactly Two 0's ii) Almost Two 0's iii) Atleast Two 0's   Solution There Σ={0,1} // Here In The Place Of a,b The Input Alphabets Are a,b   i) Exactly Two 0's Possible Strings :- {00,001,01011,100,1001....} // String Should Contain Exactly Two 0's Small String Is 00 Here

DFA Example : Construct The Minimal Finite Automata All The Strings Of a & b Where Second Symbol From Right End Is a

Construct The Minimal Finite Automata All The Strings Of a & b Where Second Symbol From Right End Is a Solution  In This Problem, The Second Symbol From Right 'a'   You Can Easily Solve Problems If The Question Is Asked Fixed Left Side Symbol. If They Ask You Fixed Right Side Symbol You Have

DFA Example : Construct Minimal Deterministic Finite Automata Ends With aa Or Ends With bb

Construct Minimal Deterministic Finite Automata Ends With aa Or Ends With bb Condition Given Is The String Must End With aa Or Can End End With bb. L={aa,bb,aaa,bbb,abaa,babb} // Infinite String   Lets's Create NFA (Smallest String Is 'aa' Or 'bb') DFA Remember Dead State Concept Will Not Comes In The 'End With ' Problems. If I

DFA Example : Construct Deterministic Finite Automata (DFA) Start And End With Same Symbol

Construct Minimal Deterministic Finite Automata9DFA) Start & End With Same Symbol Where Σ={a,b}   Conditions - If Your String Is Starting With 'a', It Should End With 'a' Only. If Your String Is Starting With 'b', It Should End With 'b' Only.   " 'Dead State' Concept Comes When I Say About Start Or End Symbol

Finite Automata Example: Construct Minimal Deterministic Finite Automata (DFA) Start And End With Different Symbol

Construct Minimal Deterministic Finite Automata (DFA) Start And End With Different Symbol Where Σ={a,b}   Condition Given Is If Your String Is Starting With 'a' It Should End With 'b' If Your String Is Starting With 'b' Then It Should End With 'a'   L={ab,ba,abbb,abab,baba,bbaa.........} // Infinite Language

String Contain 'abb' As Substring ||String End's With 'abb': Finite Automata Example’s

Construct Minimal Deterministic Finite Automata (DFA) String Contain 'abb' Σ={a,b} L={abb,abbab,aabba,bbabb....} ababba n+1 are possible states for the string 3,4,5....... String Lengths For Any Substring Problems.   Construct Minimal DFA Σ={a,b} a) String End's With abb L={abb,aabb,aaabb,ababb.....} // Instring Language   We Will Convert DFA From NFA If Question Is ' ends with ' Dont Use ' Dead State(qd)