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Design and implementation of parallel radix-4 MSD iterative division of ternary optical computer

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Abstract In view of the low efficiency of multi-bit division in the current ternary optical computer (TOC), it is difficult to achieve fast parallel division. In order to quickly implement… Click to show full abstract

Abstract In view of the low efficiency of multi-bit division in the current ternary optical computer (TOC), it is difficult to achieve fast parallel division. In order to quickly implement multi-bit parallel division, based on the parallel carry-free TW-MSD adder of the ternary optical processor (TOP), this paper proposes a parallel carry-free radix-4 MSD iterative division, and designs and implements the multi-bit parallel division on a TOP. The experimental results show that the algorithm requires only 3 + ( 4 + log ( m + 4 ) ) n / 2 clock cycles to complete the division of the n-bit MSD dividend and the m-bit MSD divisor, which is half of the clock cycles required for parallel carry-free radix-2 MSD bitwise division. This algorithm takes full advantage of the large number of ternary optical processors, reconfigurable computing functions, and bit-by-bit allocation. This is of great significance for promoting the application of TOC in the field of numerical computing.

Keywords: radix msd; ternary optical; optical computer; division; bit

Journal Title: Optics Communications
Year Published: 2021

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