Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Tapered Floating Point Extension for the Redundant Signed Radix 2
  System Using the Canonical Recoding   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.

9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol