Question: Construct a d.f.a. that accepts strings over {0, 1} if and only if the value of the string interpreted as a binary integer is equivalent

Construct a d.f.a. that accepts strings over {0, 1} if and only if the value of the string interpreted as a binary integer is equivalent to 3 modulo 7. (Note that the binary input string 100 is the integer 4 and the binary inputs are accepted left to right.)

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