Number Systems, Operations, and Codes

  • Bohdan Borowik
  • Mykola Karpinskyy
  • Valery Lahno
  • Oleksandr Petrov
Part of the Intelligent Systems, Control and Automation: Science and Engineering book series (ISCA, volume 63)


In this chapter various number systems and conversions between them are presented and explained. The number systems concerned here are: the decimal system, the binary system, the hexadecimal system and the binary-coded decimal (BCD) code (i.e. an encoding for decimal numbers, in which each digit is represented by its own binary sequence to allow easier conversion to decimal digits and faster decimal calculations). The chapter, besides providing examples explaining conversions of whole numbers also shows the way of converting binary fractions to decimal ones (and opposite).


  1. 5.
    T.L. Floyd, Digital Fundamentals (Pearson Education International, Upper Saddle River, 2003)Google Scholar
  2. 6.
    R.J. Tocci, N.S. Widmer, Digital Systems. Principles and Applications (Prentice-Hall, Upper Saddle River, 2003)Google Scholar
  3. 7.
    J.P. Daniels, Digital Design from Zero to One (Wiley, New York, 1996)Google Scholar
  4. 8.
    V.P. Nelson, H.T. Nagle, B.D. Carroll, J.D. Irwin, Digital Logic Circuit Analysis and Design (Prentice-Hall, Englewood Cliffs, 1995)Google Scholar
  5. 9.
    R.H. Katz, Contemporary Logic Design (Benjamin/Cummings, Redwood City, 1994)Google Scholar
  6. 10.
    J.P. Hayes, Introduction to Logic Design (Addison-Wesley, Reading, 1993)Google Scholar
  7. 11.
    C.H. Roth Jr., Fundamentals of Logic Design, 4th edn. (West, St. Paul, 1993)Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Bohdan Borowik
    • 1
  • Mykola Karpinskyy
    • 2
  • Valery Lahno
    • 3
  • Oleksandr Petrov
    • 4
  1. 1.Department of Electrical EngineeringUniversity of Bielsko-BialaBielsko-BialaPoland
  2. 2.Computer Science DivisionUniversity of Bielsko-BialaBielsko-BialaPoland
  3. 3.Department of Computer Systems and NetworksEast-Ukrainian National UniversityLuhanskUkraine
  4. 4.Department of Applied Computer ScienceAGH University of Science and TechnologyKrakowPoland

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