Q$23.$ Given the MLP network below where $x,Y,Z,W$ are Boolean inputs and F is the output which represents a Boolean function $F(x,Y,Z,W).$ Each perceptron uses a Threshold activation function such that the output$=1$ if ${\displaystyle \underset{?}{\overset{?}{}}}{w}_i{x}_{i}T.$ For each perceptron the threshold value is indicated as an integer within the perceptron. Which iof the following Boolean functions, $F,$ is represented by the given MLP$?$

$($a$)F=$not$((not{x}^{{?}^{?}}$notY${)}^{{?}^{?}}(x^{{?}^{?}}Z))vv((YvvnotZvvW{)}^{{?}^{?}}$not$(not{Z}^{{?}^{?}}W))$

$($b$)F=((xvvY{)}^{{?}^{?}}(xvvZ))$

$($c$)$

$($d$)F=((notxvvnotY{)}^{{?}^{?}}(xvvZ){)}^{{?}^{?}}((Y^{{?}^{?}}not{Z}^{{?}^{?}}W)vvnot(notZvvW))$

$($e$)F=$not$((xvvY{)}^{{?}^{?}}(x^{{?}^{?}}$notZ$){)}^{{?}^{?}}((YvvnotZvvW)vv(Z^{{?}^{?}}W))$