THE VERNIER DEVICE AND RESIDUE NUMBER SYSTEMS

Abstract

Properties of vernier devices and residue number systems are investigated. First, theory for conventional verniers is developed. This theory includes: necessary conditions for constructing a vernier device, basic equation describing vernier operation, vernier scale coding sequence, and characteristics of that sequence. Second, properly designed devices, called residue verniers, are shown to provide decimal (analog) to residue number conversion. The developed device theory includes: necessary conditions to prevent ambiguity in the number system, sufficient conditions to prevent ambiguity of scale readings, physical parameters of the device, and coding sequences for the various scales.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1963
Accession Number
AD0420013

Entities

People

  • Richard E. Evans

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Air Force
  • Ambiguity
  • Composite Structures
  • Computer Programming
  • Computers
  • Conversion
  • Electrical Engineering
  • Engineering
  • Equations
  • Families (Human)
  • Government Procurement
  • Integrals
  • Intervals
  • Number Theory
  • Numbers
  • Standards
  • United States

Readers

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