### Obtain a minimal state table for sequential network

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Obtain a minimal state table for a clocked synchronous sequential network having a single input line, x, in which the symbols 0 and 1 are applied, and single output line z. An output of 1 is to be produced coincident with each third multiple of the input symbol 1.

At all other times the network is to produce 0 outputs. An example of input/output sequences that satisfy the conditions of the network specifications is

x = 0 1 1 0 1 0 1 1 1 1 0 0 0 1 1 1 0

z = 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0

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