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A sequence detector is designed to detect precisely $3$ digital inputs, with overlapping sequences detectable, For the sequence $(1,0,1)$ and input data $(1,1,0,1,0,0,1,1,0,1,0,1,1,0)$. what is the output of this detector?

  1. $1,1,0,0,0,0,1,1,0,1,0,0$
  2. $0,1,0,0,0,0,0,1,0,1,0,0$
  3. $0,1,0,0,0,0,0,1,0,1,1,0$
  4. $0,1,0,0,0,0,0,0,1,0,0,0$
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