Question

Each of the following languages is the union or intersection of two simpler languages. In each...

Each of the following languages is the union or intersection of two simpler languages. In each part, construct DFAs for the simpler languages, then combine them using the construction discussed in class to give the state diagram of a DFA for the language given. In all parts, Σ = {0,1}.

1. {w|w starts with an 0 and has at most one 1}

Homework Answers

Answer #1

DFA for the language is:-

Explanation:-

  • If the word start with 1 then it will go in trap state because every word will start with 0.
  • After, receiving any number of 0s DFA will check for 1 and if there are atmost one 1 then string is accepted else if there are more than one 1 then it will go in the trap state.
  • Two final states since, if string consist of only 0's then it needs to be accepted and if it consists of atmost one 1 then it is also accepted.
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