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We develop a formal account of digit serial number representations by describing them as strings from a language. A preex of a string represents an interval approximating a number by enclosure. Standard on-line representations are shown to be a special case of the general digit serial representations. Matrices are introduced as representations of intervals… (More)

- Asger Munk Nielsen, David W. Matula, Chung Nan Lyu, Guy Even
- IEEE Trans. Computers
- 2000

ÐThis paper presents a floating-point addition algorithm and adder pipeline design employing a packet forwarding pipeline paradigm. The packet forwarding format and the proposed algorithms constitute a new paradigm for handling data hazards in deeply pipelined floating-point pipelines. The addition and rounding algorithms employ a four stage execution phase… (More)

- Asger Munk Nielsen, David W. Matula, Chung Nan Lyu, Guy Even
- IEEE Symposium on Computer Arithmetic
- 1997

- Asger Munk Nielsen, Peter Kornerup
- IEEE Trans. Computers
- 1999

ÐThis paper presents an analysis of radix representations of elements from general rings; in particular, we study the questions of redundancy and completeness in such representations. Mappings into radix representations, as well as conversions between such, are discussed, in particular where the target system is redundant. Results are shown valid for normed… (More)

- David W. Matula, Asger Munk Nielsen
- IEEE Symposium on Computer Arithmetic
- 1997

This paper presents the foundations for a packet forwarding Jloating point format and the design of a rounder ensuring compatibility between packet forwarding format and the standard binary IEEE 754 jloating point format. The packet forwarding format and related addition and multiplication algorithms described in this series propose a new ALU pipeline… (More)

- Asger Munk Nielsen, Peter Kornerup
- J. UCS
- 1995

We develop a formal account of digit serial number representations by describing them as strings from a language. A pre x of a string represents an interval approximating a number by enclosure. Standard on-line representations are shown to be a special case of the general digit serial representations. Matrices are introduced as representations of intervals… (More)

- Asger Munk Nielsen, Peter Kornerup
- IEEE Symposium on Computer Arithmetic
- 1997

This paper presents a thorough analysis of radix representations of elements from general rings, in particular we study the questions of redundancy, completeness and mappings into such representations. After a brief description of the more usual representations of integers, a more detailed analysis of various complex number systems is performed. This… (More)

- David P. Lusch, Kristy E. Stanley, +8 authors Christopher May
- 2009

David P. Lusch,∗ Kristy E. Stanley,† Randall J. Schaetzl,∗ Anthony D. Kendall,‡ Remke L. Van Dam,‡ Asger Nielsen,§ Bradley E. Blumer,∗ Trevor C. Hobbs,∗ Jonathan K. Archer,∗ Jennifer L. F. Holmstadt,∗ and Christopher L. May‡ ∗Department of Geography, Michigan State University †Department of Geography, University of Wisconsin–Madison ‡Department of… (More)

- Asger Munk Nielsen, Jean-Michel Muller
- Euro-Par, Vol. II
- 1996

We propose a new on-line algorithm for fast evaluation of logarithms and exponentials. This algorithm is derived from the widely studied Briggs-De Lugish iteration. We examine various compromises between the on-line delay and the size of the required comparison constants.

- D Hackensen, Jacqueline Neal, Kelli Shepard, Asger Munk Nielsen, J. W. Devaney
- Nebraska nurse
- 1996