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arXiv 1908.06841cs.AR
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三值电路:为什么R=3不是计算的最佳基

Ternary circuits: why R=3 is not the Optimal Radix for Computation

Daniel Etiemble

摘要:

证明了e=2.718四舍五入到3是计算的最佳基数。类似于CNTFET的技术被用于比较反相器、Nand、加法器、乘法器、D触发器和SRAM单元。三进制和二进制电路之间的晶体管计数比通常大于log(3)/log(2)信息比。唯一的例外涉及结合了两个电路缺点(额外的电源和晶体管之间的电路冲突)的电路方法,并且仅当它基于三进制反相器实现电路时。对于加法器和乘法器等算术电路,使用相同技术的二进制电路总是优于三进制电路。

英文摘要:

A demonstration that e=2.718 rounded to 3 is the best radix for computation is disproved. The MOSFET-like CNTFET technology is used to compare inverters, Nand, adders, multipliers, D Flip-Flops and SRAM cells. The transistor count ratio between ternary and binary circuits is generally greater than the log(3)/log(2) information ratio. The only exceptions concern a circuit approach that combines two circuit drawbacks (an additional power supply and a circuit conflict between transistors) and only when it implements circuits based on the ternary inverter. For arithmetic circuits such as adders and multipliers, the ternary circuits are always outperformed by the binary ones using the same technology.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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