Problem $2$: $(35$ pts $)$ On Perceptron.

a$)(15$ pts$)$ This part should be done on pencil and paper. Use the truth table for OR as the

input, assuming the initial values of the weights and bias are $w_1=0\mathrm{.}1,w_2=0\mathrm{.}2,w_0=0\mathrm{.}5.$

Show details for the first epoch using both online learning and batch learning.

b$)(15$ pts$)$ Use Perceptron to implement the OR logic. Show output from each iteration $($that

is$,$ the two inputs, the targeted output, and the Perceptron output$)$ with the maximum

number of iterations being $10.$