Exercise $1.$

The input to a single input perceptron is $2\mathrm{.}0,$ its weight is $2\mathrm{.}3$ and its bias $($threshold$)$ is $-3.$

$($a$)$ What is the net input to the transfer function? $($b$)$ What is the output if the transfer

function is a $($i$)$ a step function $($ii$)$ a sigmoid function? $($Answers: $1,0\mathrm{.}8320)$

Given a two$-$input neuron with the following parameters: bias ${}_0=1\mathrm{.}2,$ weight and input

vectors are: $=\left[\begin{array}{cc}3& 2\end{array}\right]$ and $x=\left[\begin{array}{c}-5\\ 6\end{array}\right],$ calculate the neuron output for the transfer

functions $($a$)$ step function $($b$)$ sigmoid function. $($Answer: input to the transfer function is

$-1\mathrm{.}8$

I need the solution in details so I can solve such questions. Thank you