What binary threshold neurons cannot do
     Data Space
(not weight space)
A binary threshold output unit
cannot even tell if two single bit
numbers are the same!
Same:     (1,1) 1;  (0,0) 1
Different: (1,0) 0;  (0,1) 0
The four input-output pairs
give four inequalities that are
impossible to satisfy:

1,1
1,0
0,0
The positive and negative cases
cannot be separated by a plane