On Multivalued Multithreshold Networks Composed of Conventional Threshold Elements

In this paper, we consider multivalued multithreshold networks (MVTN's) to realize multivalued logic functions. Transformations of multivalued functions into multivalued multithreshold functions, and network syntheses for MVTN's are described. There are three emphases on the MVTN's:1) any arbitrary multivalued function can be realized by an MVTN, 2) an MVTN can be composed of conventional threshold elements, and 3) various synthesis procedures for binary multithreshold networks can be applied to MVTN's.

[1]  William H. Hanson,et al.  Ternary Threshold Logic , 1963, IEEE Trans. Electron. Comput..

[2]  Zvonko G. Vranesic,et al.  Application of Multithreshold Elements in the Realization of Many-Valued Logic Networks , 1974, IEEE Transactions on Computers.

[3]  Jorge Santos,et al.  Threshold Synthesis of Ternary Digital Systems , 1966, IEEE Trans. Electron. Comput..

[4]  Donald R. Haring,et al.  Multi-threshold threshold elements , 1966, IEEE Trans. Electron. Comput..

[5]  Edward T. Lee,et al.  On Multivalued Symmetric Functions , 1972, IEEE Transactions on Computers.

[6]  Tadahiro Kitahashi,et al.  Orthogonal Expansion of Many-Valued Logical Functions and its Application to their Realization with a Single-Threshold Element , 1972, IEEE Transactions on Computers.

[7]  Roy D. Merrill.  Symmetric Ternary Switching Functions: Their Detection and Realization with Threshold Logic , 1967, IEEE Trans. Electron. Comput..

[8]  Okuhiko Ishizuka.  Synthesis of Multithreshold Tree Networks , 1977, IEEE Transactions on Computers.