• DocumentCode
    3262409
  • Title

    Optimization of the Quine-McCluskey Method for the Minimization of the Boolean Expressions

  • Author

    Jain, Tarun Kumar ; Kushwaha, D.S. ; Misra, A.K.

  • Author_Institution
    M.N.N.I.T., Allahabad
  • fYear
    2008
  • fDate
    16-21 March 2008
  • Firstpage
    165
  • Lastpage
    168
  • Abstract
    The basic principle in designing digital circuit hovers around reducing the required hardware thus reducing the cost too. To achieve this, we use Boolean expression that helps in obtaining minimum number of terms and does not contain any redundant pairs. The conventional methods for the minimization of the Boolean expressions are K-Map method and the . The minimized expressions are used to design digital circuits. Since K-Map method gets exceedingly complex when the number of the variable exceed six, hence Quine-McCluskey tabulation method scores over this and is widely used .In the following paper we present optimized Quine- McCluskey method that reduces the run time complexity of the algorithm by proposing an efficient algorithm for determination of Prime Implicants.
  • Keywords
    Boolean functions; circuit optimisation; computational complexity; logic design; Boolean expression; K-map method; Quine-McCluskey tabulation method; digital circuit design; minimization; optimization; run time complexity; Boolean functions; Cost function; DH-HEMTs; Design optimization; Digital circuits; Hardware; Minimization methods; Optimization methods; Pattern recognition; Boolean Expression; Prime Implicants; Product of Sum; Sum of Products;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Autonomic and Autonomous Systems, 2008. ICAS 2008. Fourth International Conference on
  • Conference_Location
    Gosier
  • Print_ISBN
    0-7695-3093-1
  • Type

    conf

  • DOI
    10.1109/ICAS.2008.11
  • Filename
    4488340