Linear Algebra as a Mathematical Apparatus of Threshold Synthesis of Digital Structures

摘要

The theoretical and applied aspects of the new application of the well-known algebraic structure-linear algebra for the threshold synthesis of digital structures for various purposes are considered. The simple links between Boolean and linear algebras are shown, which enable to perform easily transformations of Boolean functions into a threshold form. The theoretical positions are illustrated by examples. The circuit solutions that realize the threshold element base are presented.