On the Time Required to Perform Multiplication

Author:

Winograd S.1

Affiliation:

1. International Business Machines Corporation, Thomas J. Watson Research Center, Yorktown Heights, New York

Abstract

The time required to perform multiplication is investigated. A lower bound on the time required to perform multiplication, as well as multiplication modulo N , is derived and it is shown that these lower bounds can be approached. Then a lower bound on the amount of time required to perform the most significant part of multiplication (⌞ xy / N ⌟) is derived.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference6 articles.

1. On the Time Required to Perform Addition

2. SRANKS D. Solved and Unsolved Problems in Number Theory. Spartan Books Washington D. C. 1962. SRANKS D. Solved and Unsolved Problems in Number Theory. Spartan Books Washington D. C. 1962.

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