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Multiplication is the easiest nontrivial arithmetic function

Journal Article journal-article Computer Science ยท Theoretical Computer Science

Abstract

It is shown that fixed point multiplication can be reduced to the evaluation of any member of a very large class of functions including most of the nontrivial functions used in practice. That means that whenever any such function can be evaluated by a Boolean circuit of size S(n), multiplication can be done with O(S(n)) Boolean operations, as well.

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Context

Venue
Theoretical Computer Science
Archive span
1975-2026
Indexed papers
16261
Paper id
251914453879175692
v2026.09.13