The mealy machine implements the following behavior:\(_{Z\left( t \right) = \;}\left\{ {0\begin{array}{*{20}{c}} {x'\left( t \right)\;\;if\;x\left( t \right) = 0\;and\;x\left( k \right) = 0\;for\;all\;k < 0}\\ {if\;x\left( t \right) = 1\;and\;x\left( k \right) = 0\;for\;all\;k < 0}\\ {x\left( t \right)\;otherwise} \end{array}\;} \right.\)Illustrate the time behaviour of the input sequence shown below:Assume x(k) = 0 for k < 0t0123456x(t)0010110Z(t)

• A. 1000110
• B. 1101100
• C. 0011001
• D. 1010101