$(12\%)$ The sequential circuit has an input $x$ and output $Z.$ The output is the same as the input was two clock periods previously. For example,

$x=0101101011010001$

z$.Y=0001011010110100$

Here, the first two values of $Z$ are $0.$ Find a mealy state graph and table, then implement the sequential circuit using D type flip flop with $SO=00,S1=01,S2=11,53=10.(12\%)$