Ternary logical naming convention and application in ternary optical computers

Authors: SHUANG LI, YI JIN

Abstract: This article introduces the ternary logical naming convention, which was newly discovered in the study of logical units of ternary optical computers (TOCs). First, the design principle and design specification of the ternary logical naming convention are elaborated in detail and several examples are given to illustrate the use of the naming convention. Second, taking the modified signed-digit (MSD) adder of the TOC as an example, the naming convention is applied to build four ternary logical units of the MSD adder, and the implementation method of pipelined addition is introduced. Finally, the correctness of the ternary logical naming convention proposed in this paper and the usability of the adder built according to this convention are illustrated by experiments. The ternary logical naming convention can easily obtain the relationship between the ternary logic transforms, thus judging the characteristics of the logic units of TOCs, which is helpful to promote the in-depth study of TOCs in the field of numerical calculation.

Keywords: Ternary logical, ternary optical computer, naming convention

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