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By putting option A), we are getting most likely to given sequence. So, it is the closest answer but not exact one.

$Q_{0}$                       $Q_{1}$ $D_{0}=$Q1'                     $D_{1}=$Q0
$0$                            $0$         $1$                                $0$
  $1$                          $0$         $1$                                $1$
  $1$                          $1$         $0$                                $1$
  $0$                          $1$         $0$                                $0$

 

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