 
Summary: Igor Aizenberg, Solving the XOR and Parity N Problems Using a Single
Universal Binary Neuron, Soft Computing, vol. 12, No 3, February, 2008,
pp. 215222
1
SOLVING THE XOR AND PARITY N
PROBLEMS USING A SINGLE UNIVERSAL
BINARY NEURON
IGOR AIZENBERG
Texas A&M UniversityTexarkana
Department of Computer and Information Sciences
P.O. Box 5518, 2600 N. Robison Rd. Texarkana, Texas 75505 USA
Phone (1 903) 2233183; Fax: (1 903) 2233189
email: igor.aizenberg@tamut.edu
ABSTRACT
A universal binary neuron (UBN) operates with complexvalued weights and a complexvalued
activation function, which is the function of the argument of the weighted sum. The activation
function of a UBN separates a whole complex plane onto equal sectors, where the activation
function is equal to either 1 or 1 depending on the sector parity (even or odd, respectively). Thus,
the UBN output is determined by the argument of the weighted sum. This makes possible the
implementation of the nonlinearly separable (nonthreshold) Boolean functions on a single neuron.
