UNIVERSAL FUNCTIONS,

Abstract

The report deals with the theory and application of 'universal functions,' with some attention to current and future logic design and technology. A universal function module is a logical network which is capable of performing every Boolean function of a fixed set of inputs by biasing its remaining inputs appropriately with zeros and ones; a universal function is the function the network, as a whole, performs. After an introductory section, there is a study of a universal function based on the EXCLUSIVE OR decomposition as an alternative to the universal function based on the minterm decomposition; a two-element EXCLUSIVE OR gate is suggested. Section III lists and discusses the 24 universal functions for one variable. The general theory of universal functions is developed in Section IV; their number, interrelationship, and relationship to other Boolean functions is determined. Section V considers certain kinds of universal function and multifunction modules. The report concludes with indications of areas for future research. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1968
Accession Number
AD0669849

Entities

People

  • James T. Ellison

Organizations

  • Sperry Corporation

Tags

DTIC Thesaurus Topics

  • Chemical Reactions
  • Complex Variables
  • Decomposition
  • Dissociation
  • Functions (Mathematics)
  • Mathematical Analysis

Readers

  • Calculus or Mathematical Analysis
  • Computer Engineering
  • Systems Analysis and Design