Log depth circuits for division and related problems

PW Beame, SA Cook, HJ Hoover - SIAM Journal on Computing, 1986 - SIAM
PW Beame, SA Cook, HJ Hoover
SIAM Journal on Computing, 1986SIAM
We present optimal depth Boolean circuits (depth O(\logn)) for integer division, powering,
and multiple products. We also show that these three problems are of equivalent uniform
depth and space complexity. In addition, we describe an algorithm for testing divisibility that
is optimal for both depth and space.
We present optimal depth Boolean circuits (depth ) for integer division, powering, and multiple products. We also show that these three problems are of equivalent uniform depth and space complexity. In addition, we describe an algorithm for testing divisibility that is optimal for both depth and space.
Society for Industrial and Applied Mathematics
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