A Recursive Method for Generating the Gray Code

Abstract

The Gray code is a mapping of the naturally ordered B-bit binary numbers to all ordering in which the binary representations of successive integers differ by exactly one bit. For example, the 4-bit Gray code representations of 7 and 8 are 0100 and 1100, respectively, which differ by one bit. The natural' representations are 0111 and 1000, which differ by three bits. The purpose of this correspondence is to present a simple recursive method for generating the Gray code.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADA397121

Entities

People

  • G. M. Dillard

Organizations

  • Naval Information Warfare Systems Command

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Amplitude Modulation
  • Coding
  • Communication Systems
  • Communications Techniques
  • Computations
  • Digital Communications
  • Information Operations
  • Modulation
  • Naval Warfare
  • New York
  • Pulse Amplitude
  • Pulse Amplitude Modulation
  • Pulse Position Modulation
  • Symbols

Fields of Study

  • Mathematics

Readers

  • Computational Linguistics
  • Computer Programming and Software Development.