By Topic

An Optimal and Practical Approach to Single Constant Multiplication

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Thong, J. ; Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, ON, Canada ; Nicolici, N.

We propose an exact solution to the single constant multiplication (SCM) problem. Existing optimal algorithms are limited to constants of up to 19 bits. Our algorithm requires less than 10 s on average to find a solution for a 32 bit constant. Optimality is guaranteed via an exhaustive search. We analyze two common SCM frameworks and the corresponding search strategies that each framework facilitates. Combining the strengths of both frameworks, we obtain highly aggressive pruning. The various strategies used in our algorithm and their underlying intuition are discussed extensively in this paper.

Published in:

Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on  (Volume:30 ,  Issue: 9 )