arXiv Open Access 2016

On the optimality of ternary arithmetic for compactness and hardware design

Harris V. Georgiou
Lihat Sumber

Abstrak

In this paper, the optimality of ternary arithmetic is investigated under strict mathematical formulation. The arithmetic systems are presented in generic form, as the means to encode numeric values, and the choice of radix is asserted as the main parameter to assess the efficiency of the representation, in terms of information compactness and estimated implementation cost in hardware. Using proper formulations for the optimization task, the universal constant 'e' (base of natural logarithms) is proven as the most efficient radix and ternary is asserted as the closest integer choice.

Topik & Kata Kunci

Penulis (1)

H

Harris V. Georgiou

Format Sitasi

Georgiou, H.V. (2016). On the optimality of ternary arithmetic for compactness and hardware design. https://arxiv.org/abs/1611.03715

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2016
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓