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### Conversion Of E-NFA To NFA – Finite Automata –

Conversion Of E-NFA To NFA - Finite Automata The Process Of Conversion Of ε-NFA To NFA Is Called As Thomson Construction. Note:- No Change In Initial State No Change In The Total No. Of States May Be Change In Final States Algorithm Let M=(Q,Σ,δ,q0,F) - ε-NFA M1= (Q1,Σ,δ1,q01,F1) - NFA 1) Initial State q01=q0 2) Construction Of δ1 δ1 (q,x)=ε-Closure(δ(ε-Closure(q),x) 3) Final State Every State Who's ε-Closure

### Compound Automata (DFA Example): Construct The Minimal Finite Automata That Accept All The String Of a & b Such That There Is Even No. Of a And Even Number Of b

Construct The Minimal Finite Automata That Accept All The String Of a & b Such That i) There Is Even No. Of a And Even Number Of b   Solution:- Question Is Final Automata Should Contain Even Number Of 'a's And Even Number Of 'b's Even Numbers Are 0,2,4,6,8,.....   CREATE TWO SEPARATE AUTOMATAS WITH GIVEN TWO CONDITIONS Finite

### 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 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