Hello all, Can I get an input into this question?

A sequence detector using a state machine with one input X and one output Z receiving strings of 0's and 1's applied to X and generate an output Z=1 only when the sequence 1111001 is detected

The states given are;

Initial state X does not receive an effective bit = S0

X receives one effective bit = S1

X receives two effective bits = S2

X receives three effective bits = S3

X receives four effective bits = S4

X receives five effective bits = S5

X receives six effective bit = S6

X receives seven effective bit = S7

Question: Derive a State graph from the above expression using either Moore and Mealy Machine

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