$($b$)$ Design a neural network, using one or more Perceptron neurons, for the

Boolean function f$1,$ as defined in Table $5.$

x y f$1($x$,$ y$)$

$-2-2-1$

$-2+2+1$

$+2-2+1$

$+2+2+1$

Table $5$: Function f$1($x$,$ y$).$

Use the threshold activation function $($as defined in the Appendix on p$.7)$ in

your calculations. Plot the points of Table $5$ in the input space of f$1.$ Show the

decision boundary used in your calculations. Calculate the weight values for

the connections in your neural network.