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Consider the task of verifying that a serial binary communication channel is operating correctly when all blocks of 0's are of even length, and all blocks of 1 are of odd length.
Design a Mealy Machine that produces an output of 1 whenever a discrepancy in the above pattern is detected, and produces an output of 0 otherwise.
(a) Define the Mealy Machine as a 6-tuple (Q,Σ,?,δ,ε,q0-where q is a non-empty set of states,Σ is the input alphabet, ? is the output alphabet,δ:QxΣ→Q,and ε: QxΣ→?)and define each component of the tuple.(b) Give the states meaningful names.(c) Show the transition functions as a diagram and as tables.(d) Explain how the machine works.(e) Give some examples to show that it works as specified.
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