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Two memristors suffice to compute all Boolean functions

Two memristors suffice to compute all Boolean functions

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It is proved that all Boolean functions can be computed using two memristors. To achieve this, a recursive conjunctive form for Boolean functions is introduced and its universality shown.

Inspec keywords: Boolean functions; memristors

Other keywords: memristors; Boolean functions

Subjects: Resistors; Algebra

References

    1. 1)
    2. 2)
    3. 3)
      • Kuekes, P.: `Material implication: digital logic with memristors', Memristor and Memristive Systems Symp., 2008, UC Berkeley, CA, USA.
    4. 4)
      • Lehtonen, E., Laiho, M.: `Stateful implication logic with memristors', Proc. IEEE/ACM Int. Symp. on Nanoscale Architectures, 2009, San Francisco, CA, USA, p. 33–36.
    5. 5)
      • M. Karnaugh . The map method for synthesis of combinational logic circuits. Trans. AIEE Commun. Electron. , 1 , 593 - 598
    6. 6)
      • E.J. McCluskey . Minimisation of Boolean functions. Bell Syst. Tech. J. , 5 , 1417 - 1444
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