INFORMATION CAPACITY OF ITERATIVE LOGIC CIRCUITS,

Abstract

The capacities of various iterative-circuit logic structures required to realize logic and computing functions are compared. A circuit tunable by external 0--1 signals at whose output any Boolean function of n variables can be realized is called a universal logic element (ULE). Such an element may have one or more independent outputs, each yielding any of 2 to the power(2 to the power n) Boolean functions of n variables. Two versions of ULE, with one and two outputs, are described. A 3-tier iterative-circuit structure built from ULE's yields all possible 256 Boolean functions of three input variables; this structure has 3 inputs, 3 outputs, and 9 ULE's. A 5-tier iterative-circuit structure and the above 3-tier structure (made up of 2-input ULE's) require for their tuning information capacity and redundancy almost equal to those of a 2-dimensional lattice structure consisting of outpoint elements; the required capacity and redundance are 1/24 to 1/27 of those needed for a computing medium (simple-recurrent-circuit structure) or a simple lattice structure. Hence, a more complex ULE is preferable for building up intricate combination schemes, etc.

Document Details

Document Type
Technical Report
Publication Date
Dec 12, 1968
Accession Number
AD0687062

Entities

People

  • I. V. Prangishvili

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Circuits
  • Computers
  • Logic
  • Logic Devices
  • Logic Elements
  • Logic Gates
  • Mathematics
  • Redundancy
  • Two Dimensional

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
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