title: Combining deterministic finite automata
body: <p>I'm really new to this stuff so I apologize for the noobishness here.   </p>
  
  <p>construct a <code>Deterministic Finite Automaton</code> DFA recognizing the following language:   </p>
  
  <pre><code>L= { w : w has at least two a's and an odd number of b's}. 
  </code></pre>
  
  <p>The automate for each part of this <code>(at least 2 a's, odd # of b's)</code> are easy to make separately... Can anyone please explain a systematic way to combine them into one? Thanks.</p>