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