Please show all your work and reasoning!

1) Assume bipolar inputs and outputs for the neurons in this problem (1 or -1). Give weights and bias for a McCulloch-Pitts (M-P) neuron with inputs x, y, and z, and whose output is z if x = -1 and y = 1, and is -1 otherwise.

2) For this problem, change the definition of an M-P neuron so that both its inputs and output are binary. View uv, wx as two-bit binary (0 or 1) numbers, and yz as the 2 low-order bits of the numerical addition of uv and wx.

(a) Give weights and biases for an M-P network which generates z.

(b) Give weights and bias for an M-P network which generates y.

u v Adder