Publication detail

Inexact Arithmetic Operators

SEKANINA, L. VAŠÍČEK, Z. MRÁZEK, V.

Original Title

Inexact Arithmetic Operators

Type

book chapter

Language

English

Original Abstract

Approximate implementations of arithmetic circuits have been developed to find the best trade-offs between the key circuit parameters (such as energy, area, and delay) and the error of arithmetic operations. This chapter discusses various methodological aspects of developing approximate arithmetic circuits, including design abstractions, number representation, error analysis methods, and particular design methods. We survey problem-specific methods proposed for the manual design of approximate adders and multipliers. The circuit approximation problem is also formulated as a multi-objective optimization problem that can be solved by a suitable automated circuit design method. A comprehensive open-source library EvoAppoxLib of approximate circuits that was automatically generated by one of the automated methods is introduced. We stress the importance of correct evaluation and comparison of approximate implementations and a proper benchmarking methodology. Finally, two case studies demonstrate some frequently overlooked issues related to the selected error analysis approaches.

Keywords

approximate circuit, adder, multiplier, design method, multi-objective design

Authors

SEKANINA, L.; VAŠÍČEK, Z.; MRÁZEK, V.

Released

13. 6. 2022

Publisher

Springer International Publishing

Location

Cham

ISBN

978-3-030-94704-0

Book

Approximate Computing Techniques

Pages from

81

Pages to

107

Pages count

27

URL

https://link.springer.com/book/10.1007/978-3-030-94705-7

BibTex

@inbook{BUT178212,
  author="Lukáš {Sekanina} and Zdeněk {Vašíček} and Vojtěch {Mrázek}",
  title="Inexact Arithmetic Operators",
  booktitle="Approximate Computing Techniques",
  year="2022",
  publisher="Springer International Publishing",
  address="Cham",
  pages="81--107",
  doi="10.1007/978-3-030-94705-7\{_}4",
  isbn="978-3-030-94704-0",
  url="https://link.springer.com/book/10.1007/978-3-030-94705-7"
}