$.$ A Neural network is needed in a sorting machine to distinguish between a mango and an $[6]$ orange. Assume that there are Shape, Texture and Weight sensors being used. By making use of hardlims activation function,

a$)$ Design a Hamming network and verify the output for a Mango prototype.

$[6]$

$[$CO$4]$

b$)$ Design a Hopfield network and using which identify the fruit type if the sensors return $[0\mathrm{.}6-0\mathrm{.}6-0\mathrm{.}8{]}^T$ as input to the neural network.