Improved normalization results for digit on-line arithmetic

Richard J. Zaccone, Jesse L. Barlow

Research output: Chapter in Book/Report/Conference proceedingChapter


In digit on-line arithmetic, operands are introduced a digit at a time. After the first few operand digits have been introduced, the result begins to appear a digit at a time. This feature of digit on-line arithmetic allows a significant amount of overlapping of arithmetic operations. Digit on-line arithmetic can sometimes produce unnormalized results. This can present a problem for the divide and square root algorithms. If the divisor and radi-cand are highly unnormalized, these algorithms will not produce the correct results. Two advances in overcoming this problem are presented. First, several techniques for producing results that are closer to being normalized are developed. Second, it is shown that normalized results are not necessary for divide and square root to work properly. Combining these results yields algorithms that will always give the correct results.

Original languageEnglish (US)
Title of host publicationComputer Arithmetic
Subtitle of host publicationVolume II
PublisherWorld Scientific Publishing Co.
Number of pages8
ISBN (Electronic)9789814641470
ISBN (Print)9789814641463
StatePublished - Jan 1 2015

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Engineering(all)
  • Mathematics(all)


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