DFA Category 2: Starts and ends with

 DFA accepts strings that start with a specific substring and/or end with a specific substring. For Examples

  • Starts with 01
  • Ends with 000
  • Starts with a, ends with bb
  • Starts and ends with the same symbol

DFA Example: 

Construct a DFA that accepts all the strings over the alphabets ∑ {0,1} that start with “0”.


DFA Description

  • States = {q0, q1, q∅ }

  • Input Alphabet = {0, 1}

  • Initial State = q0

  • Final States = {q1}

  • Dead State = q∅  (trap state)


DFA Example: 

Construct DFA, which accept all the string over alphabets ∑ {0,1} that start with “01”.



DFA Example: 

Construct DFA, which accepts all the strings over alphabets ∑ {0,1} that ends with “0”.


Example: 

Construct DFA, which accept all the string over alphabets ∑ {0,1} that end with “10”.


DFA Example: 

Construct a DFA with sigma ∑ = {0, 1}, accepts those string which starts with one and ends with 0.



DFA Example: 

Construct a DFA with sigma ∑ = {0, 1} for the language accepting strings ending in either ’01’ or ’10’.

DFA Example:

Construct a DFA with sigma ∑ = {0, 1} for the language accepting strings starting and ending with ‘0’ always.



DFA Example:

Design a DFA with sigma ∑ = {0, 1} for the language accepting strings starting and ending with different characters.


DFA Example: 

Construct a DFA with sigma ∑ = {0, 1} for the language accepting strings starting and ending with the same characters.


DFA Example:

Construct a DFA with sigma ∑ = {0, 1} for the language accepting strings starting with ‘00’ or ’11’


DFA Example: 

Construct a DFA with sigma ∑ = {0, 1} for the language accepting strings ending with ‘0011’.


DFA Example: 

Construct a DFA with sigma ∑ = {0, 1} for the language accepting strings ending with ‘0110’.


DFA Example:

Construct a DFA with sigma ∑ = {0, 1} for the language accepting strings ending with ‘00’.



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