Consider the following perceptron unit which takes two boolean $(0/1)$ variables x and y as input and computes the boolean variable z according to the following function. Here w$1$ is the weight corresponding to x and w$2$ is the weight corresponding to y$,$ T is the threshold of the perceptron.

Which of the following statement$($s$)$ is$/$are TRUE $?$

If w$1=1,$ w$2=1$ and T $=1\mathrm{.}5,$ then z $=$ x $$ y

If w$1=1,$ w$2=1$ and T $=0\mathrm{.}5$ then z $=$ x $$ y

If w$1=0,$ w$2=-1$ and T $=0\mathrm{.}5$ then z $=$ y

If w$1=-1,$ w$2=1$ and T $=0\mathrm{.}5$ then z $=$ x $->$y$)$:$\}$