• DocumentCode
    1147520
  • Title

    Parallel Binary Adders with a Minimum Number of Connections

  • Author

    Sakura ; Muroga, Saburo

  • Author_Institution
    Instrumentation Division, Hitachi Ltd.
  • Issue
    10
  • fYear
    1983
  • Firstpage
    969
  • Lastpage
    976
  • Abstract
    An n-bit parallel binary adder consisting of NOR gates only in single-rail input logic is proved to require at least 17n + 1 connections for any value of n. Such an adder is proved to require at least 7n + 2 gates. An adder that attains these minimal values is shown. Also, it is concluded that some of the parallel adders with the minimum number of NOR gates derived by Lai and Muroga have the minimum number of connections as well as the minimum number of gates, except for the two modules for the two least significant bit positions.
  • Keywords
    Adder with a minimum number of connections; NOR gates; logic design; minimal adder; parallel adder; ripple adder; Adders; Application software; Computer science; Concurrent computing; Costs; Logic design; Logic devices; Microprocessor chips; Minimization methods; Parasitic capacitance; Adder with a minimum number of connections; NOR gates; logic design; minimal adder; parallel adder; ripple adder;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/TC.1983.1676144
  • Filename
    1676144