Implementation and Analysis of Modified Double Precision Interval Arithmetic Array Multiplication

  IJCOT-book-cover
 
International Journal of Computer & Organization Trends   (IJCOT)          
 
© 2012 by IJCOT Journal
Volume-2 Issue-2                           
Year of Publication : 2012
Authors :  Krutika Ranjan Kumar Bhagwat, Prof. Tejas V. Shah, Prof. Deepali H. Shah

Citation

- Krutika Ranjan Kumar Bhagwat, Prof. Tejas V. Shah, Prof. Deepali H. Shah  "Implementation and Analysis of Modified Double Precision Interval Arithmetic Array Multiplication" . International Journal of Computer & organization Trends (IJCOT), V2(2):1-5 Mar - Apr 2012, ISSN 2249-2593, www.ijcotjournal.org. Published by Seventh Sense Research Group.

Abstract

This paper presents the design of a 64 bit array multiplier that performs interval multiplication. This multiplier requires carry save adders instead of full adders that reduces the delay i n r e s p e c t o f conventional array multiplier. The 64 bit multiplication requires 53 x 53 multiplication which is done by array multiplier it has n*(n-1) CSA, where n=53 so, n*(n-1) = 53 *52= 2756 CSA is used. Arrangement of 2756 CSA is used to add partial products of multiplier. This multiplier is based on interval arithmetic which provides the better accuracy, b y removing rounding off error over conventional floating point multiplier. There is performance improvement over software implementation of interval arithmetic, but it requires slightly more area rather than conventional floating point unit.

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Keywords

Double Precision, Interval Multiplication, Significand multiplier , Array Multiplier.