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Give a DFA M 3 that accepts the language L 3 consisting of strings on { 0 , 1 } such that the value of

Give a DFA M3 that accepts the language L3 consisting of strings on {0,1} such that the value of the string, interpreted as an unsigned binary representation of an integer, modulo 8 is 3. Assume that the string is input starting with highest order bit first. Also, note that we allow leading 0s in a string, e.g.,w=00001001 represents the integer 9.

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