A tapered floating point encoding is proposed which uses the redundant signed radix 2 system and is based on the canonical recoding. By making use of ternary technology, the encoding has a dynamic range exceeding that of the recently-proposed Posit number system and the IEEE 754-1985 Standard for Floating Point Arithmetic (IEEE-754-1985), and precision equal to or better than that of the IEEE-754-1985 system and the recently proposed Posit system when equal input sizes are compared. In addition, the encoding is capable of supporting several proposed extensions, including extensions to integers, boolean values, complex numbers, higher number systems, low-dimensional vectors, and system artifacts such as machine instructions. A detailed analytic comparison is provided between the proposed encoding, the IEEE-754-1985 system, and the recently proposed Posit number system.

中文翻译：

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使用规范重新编码的冗余有符号基数 2 系统的锥形浮点扩展

提出了一种锥形浮点编码，它使用冗余有符号基数 2 系统并基于规范重新编码。通过使用三元技术，编码的动态范围超过了最近提出的Posit数字系统和IEEE 754-1985浮点运算标准（IEEE-754-1985），精度等于或优于当比较相同的输入大小时，IEEE-754-1985 系统和最近提出的 Posit 系统。此外，编码能够支持多种提议的扩展，包括对整数、布尔值、复数、高数系统、低维向量和系统工件（如机器指令）的扩展。在提议的编码、IEEE-754-1985 系统之间提供了详细的分析比较，