An Algorithm for Minimal TANT Network Generation.

Abstract

An algorithm for constructing minimal TANT network (minimum gate three level AND-NOT gate network with true inputs) is presented. The upper prime permissible implicants of a function are first generated from the H-maximum compatibility classes of the prime implicants. Using the upper prime permissible implicants as candidates, two particular networks, A and B, are then constructed. Network A has the minimum number of third level gates among all networks that have the minimum number of second level gates. Network B has the minimum number of second level gates among all networks that have the minimum number of third level gates. For most functions with few variables, it can be shown that one or both of these two networks is a minimal TANT network. (No function with less than nine variables has been found which violates the above statement.) For other functions, upper and lower bounds for both the second level and third level gates are derived. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1973
Accession Number
AD0770555

Entities

People

  • Hsiao-peng Sherman Lee

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Demographic Cohorts
  • Demography

Fields of Study

  • Computer science

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Operations Research