, Volume 3, Issue 3, pp 203-213

Algorithm and implementation of parallel multiplication in a mixed number system

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Abstract

This paper presents a high-speed multiplication algorithm for the mixed number system of the ordinary binary number and the symmetric redundant binary number. It is implemented with the multivalued logic theory, and 3-valued and 2-valued circuits are used. The 3-valued circuit proposed in this paper is an emitter-coupled logic circuit with high speed, simplicity and powerful functions. A 3-valued ECL threshold gate can simultaneously produce six types of one-variable operations. The array multiplier, designed with the algorithm and the circuits, is fast and simple, and is suitable for building LSI. It can be used in a high-speed computer just as an ordinary binary multiplier.