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The Complexity of Computational Circuits Versus Radix

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1 Author(s)
Armstrong, J.R. ; Department of Electrical Engineering, Virginia Polytechnic Institute and State University

The complexity of computational circuits versus radix is analyzed. Necessary and sufficient conditions are given that ensure that the complexity of certain computational circuits will be a monotonically decreasing function of radix. Mechanizations of a higher radix ripple carry adder, look-ahead adder, magnitude comparator, and parallel multiplier are given. Each mechanization is implemented using both I2L threshold logic and standard multiple-valued logic primitives and then tested against the necessary and sufficient conditions previously developed. A comparison is made of the relative effectiveness of I2L threshold logic versus logic primitives in realizing computational circuits whose complexity is a decreasing function of radix.

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Computers, IEEE Transactions on  (Volume:C-29 ,  Issue: 10 )