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Dergiler / Istanbul University Journal of Electrical and Electronics Engineering / 2006 / Cilt: 6 - Sayı: 2

A fast multiplier hardware design for interval arithmetic

Ahmet SERTBAŞ
Fethullah KARABİBER
Hani EL-ABDALLAH
Sayfa
169–174
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Compared to previous hardware interval multipliers, our design is faster, but, requires more area.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, a new parallel hardware unit for interval multiplication is presented.
📊
Temel Bulgular & Veri:Using the VHDL synthesis results, the area and delay estimates for the new design are given.
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Sonuç & Katkı:Compared to previous hardware interval multipliers, our design is faster, but, requires more area.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, a new parallel hardware unit for interval multiplication is presented. Using the VHDL synthesis results, the area and delay estimates for the new design are given. Compared to previous hardware interval multipliers, our design is faster, but, requires more area.

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Bu Makaleye Atıf Yap

SERTBAŞ, A., KARABİBER, F., EL-ABDALLAH, H. (2022). A fast multiplier hardware design for interval arithmetic. Istanbul University Journal of Electrical and Electronics Engineering, Cilt: 6 - Sayı: 2, 169–174. https://ajindex.com/articles/543827

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Kaynakça (10)

  1. Moore R.E., 1966, Interval Analysis, Englewood Cliffs: Prentice Hall
  2. Schulte M.J., Bıckersatff K.C., Schwartzlander E.Jr., 1996, "Hardware Units for Interval Multiplication" Proceedings of the 2nd Workshop of Computer Arithmetic, Interval, and Symbolic Computations, pp. 85-87
  3. Williams G. S., “Processor Support For Interval Arithmetic” thesis for master degree, Lehigh University, May 1998
  4. Goldberg D.,1991 "What Every Computer Scientist Should Know About Floating Point Arithmetic" ACM Computing Surveys, vol. 23, pp. 5-48
  5. Arnold D.N.,1997 “Disasters Caused by Computer Arithmetic Errors" available from Internet URL http://www.ima.umn.edu/~arnold/ 455.f96/disasters.html February, 1997
  6. Rumph S.M, 1988 "Algorithms for Verified Inclusions: Theory and Practice" Reliability in Computing, San Diego: Academic Press, 1988
  7. Kearfott R.B. et al.,1996, "A Specific Proposal for Interval Arithmetic in FORTRAN" http://interval.louisiana.edu/F90/f96-pro.asc, March 96
  8. Walster G.W., 1996, "Stimulating Hardware and Software Support for Interval Arithmetic" Applications of Interval Computations, pp. 405-416, 1996
  9. Alefeld G. and Herzberger R.,1983, Introduction to Interval Computations, New York: Academic Press
  10. Walster G.W., "Interval Arithmetic: The New Floating-Point Arithmetic Paradigm," http://www.mscs.mu.edu/~globsol/readings.html, March, 1998 [11] Coriliss G.F.,1993 "Comparing Software Packages for Interval Arithmetic," in Abstracts of the International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics.