The logic circuit shown in the diagram implements which of the Boolean expressions given below?

Question $10$ options:

$1)$

xy$+$y$\text{'}$

$2)$

$($x$+$y$)$y$\text{'}$

$3)$

x$\text{'}($x$+$y$)\text{'}$

$4)$

$($x$+$y$)\text{'}($x $+$ y$\text{'})\text{'}$

$5)$

None of the above.