Dense Non-Binary Arithmetic With I2L Multi-Valued Logic

Tich T. Dao

doi:10.1117/12.938245

8 December 1978 Dense Non-Binary Arithmetic With I2L Multi-Valued Logic

Tich T. Dao

Proceedings Volume 0154, Real-Time Signal Processing I; (1978) https://doi.org/10.1117/12.938245
Event: 22nd Annual Technical Symposium, 1978, San Diego, United States

Abstract

In digital signal processing a great majority of repetitive operations are arithmetic in the form of sum of products. Specialized parallel arithmetic hardware such as multiplier, multiple argument adder, etc. are being developed for this application. With the availability of multivalued logic gates , it becomes feasible to implement non-binary arithmetic which leads to denser hardware. Theoretical bounds on the complexity in non-binary arithmetic are compared to binary ones. A brief description of the quaternary I²L family precedes design examples of arithmetic operators in radix 4. Single component complex arithmetic operations in balanced base 3 are mentioned. Operators in GF (4) and in the extension fields are also shown, as possible tools in number theoretic transforms N. T. T.

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Tich T. Dao "Dense Non-Binary Arithmetic With I2L Multi-Valued Logic", Proc. SPIE 0154, Real-Time Signal Processing I, (8 December 1978); https://doi.org/10.1117/12.938245

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