DocumentCode
1330124
Title
Formal Analysis of End-Around-Carry Adder in Floating-Point Unit
Author
Liu, Feng ; Song, Xiaoyu ; Tan, Qingping ; Chen, Gang
Author_Institution
Nat. Lab. of Parallel Distrib. Process., Nat. Univ. of Defense Technol., Changsha, China
Volume
29
Issue
10
fYear
2010
Firstpage
1655
Lastpage
1659
Abstract
End-around-carry (EAC) adder is extensively used in microprocessor´s floating-point units. This paper presents an algebraic characterization of an EAC adder´s algorithm. A novel symbolic analysis approach is presented to prove the EAC adder´s correctness. Algebraic structures and first-order recursive equations are harnessed in proof derivations. A hybrid prefix/EAC architecture is considered.
Keywords
adders; floating point arithmetic; algebraic characterization; algebraic structures; end-around-carry adder; first-order recursive equations; floating-point unit; formal analysis; symbolic analysis; Adders; Algorithm design and analysis; Computer architecture; Equations; Jacobian matrices; Laboratories; Signal processing algorithms; Computer arithmetic; EAC adder; formal methods;
fLanguage
English
Journal_Title
Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0278-0070
Type
jour
DOI
10.1109/TCAD.2010.2052391
Filename
5580224
Link To Document