Question: sets, relations in discrete structures? Problem 5 - Finite-State Machines 1. Construct a DFA for the string aacaab. That is, given an infinite tape of

sets, relations in discrete structures?

Problem 5 - Finite-State Machines 1. Construct a DFA for the string "aacaab". That is, given an infinite tape of symbols, this DFA accepts all patterns of the form "aacaab" (assume that the alphabet has characters a,b,.c) 2. Construct a DFA that accepts all patterns that have an even number of a's. Assume that the language alphabet only has characters a,b and machine processes an infinite tape of a's and h's 3. Construct a finite-state machine that gives an output of 1 if the number of input symbols read so far is divisible by 3 and an output of 0 otherwise

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