Parity with two layer feedforward nets

A key issue about neural net functionality is the parity mapping function which is related to high order multiplication. This paper shows a simple two layer neural net function for mapping parity and proving minimum number of necessary hidden units.

[1]  William H. Kautz.  The Realization of Symmetric Switching Functions with Linear-Input Logical Elements , 1961, IRE Trans. Electron. Comput..

[2]  Robert C. Minnick,et al.  Linear-Input Logic , 1961, IRE Trans. Electron. Comput..