Title
Tight bounds on expected time to add correctly and add mostly correctly
Abstract
We consider the problem of adding two n-bit numbers which are chosen independently anduniformly at random where the adder is a circuit of AND, OR, and NOT gates of fan-in two.The fastest currently known worst-case adder has running time log n +O(plog n) [Khr].We first present a circuit which adds at least 1 \Gamma ffl fraction of pairs of numbers correctly andhas running time log log (nffl ) +O(plog log (nffl )).We then prove that this running time is optimal.Next we present ...
Year
DOI
Venue
1994
10.1016/0020-0190(94)90031-0
Inf. Process. Lett.
Keywords
Field
DocType
tight bound,expected time,addition
Log-log plot,Binary logarithm,Discrete mathematics,Combinatorics,Adder,Uniform distribution (continuous),Mathematics,Speedup
Journal
Volume
Issue
ISSN
49
2
0020-0190
Citations 
PageRank 
References 
3
0.51
0
Authors
2
Name
Order
Citations
PageRank
Peter Gemmell1675108.87
Mor Harchol230.51