Question

Derive a state diagram and a state table for a FSM that has an input w...

Derive a state diagram and a state table for a FSM that has an input w and an output z, such that when pulses are applied to w.
a. The output z = 0 if the number of previously applied pulses is odd, and
b. The output z = 1 if the number of previously applied pulses is even.
 
For example, one desired behavior is as follows w: 010111011100011 z: 110010110100001
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Answer #1

The required language is better described by a Moore machine M=(Q,Σ,λ,δ,q0)

where

Q={q0,q1}-set of states

Σ={0,1}-Set of input alphabets.

λ={0,1}-set of output alphabets

q0-is the start State of the machine

δ-is the transition function defined the following transition diagram:

10

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