Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of...

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Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of...

Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of all strings such that there are no consecutive 0s, and the number of 1s is divisible by 5. Your DFA must handle all intput strings in {0,1}*. Here is a way to approach the problem:

First focus only building the DFA which accepts the language: As you build your DFA, label your states with an explanation of what the state actually represents in terms of 0s and 1s. You will then notice that the accepting DFA does not need to be very large. You may even want to first figure out what are all the possible states before you add any specific transitions.
Complete the DFA with the missing transitions and states.

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