problem1)

A 4-input Neuron has weights 1,-1,  0,  0.5. find out the network output when the following input vectors are applied.

For calculation assume:
a. f(net) = unipolar binary
b. f(net) = bipolar binary

problem2) 

The network shown in figure uses neurons with:
(a) Unipolar Binary;
(b) Bipolar Binary.

find out a table of responses to all four possible Boolean inputs.

problem 3)

Figure below shows the truth table for five different functions. Each truth table shows the inputs x1, x2 and the desired output d.
(a) prepare down which of these functions are linearly separable and which are not linearly separable. Illustrate your answer graphically if appropriate.   
(b) Can a single Neuron implement each of these functions? If so, describe the structure of a Neuron that implements it; if not, discuss and describe why not.