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Parallel Prefix Algorithms

64 bytes removed, 19:07, 29 June 2018
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==Add==
[[FILE:300px-4_bit_Kogge_Stone_Adder_Example_new4 bit Kogge Stone Adder Example new.png|none|border|text-bottomright|link=https://en.wikipedia.org/wiki/Kogge-Stone_adderthumb|4-bit Kogge-Stone adder]]
The software approach of a [https://en.wikipedia.org/wiki/Kogge-Stone_adder Kogge-Stone] [[Combinatorial Logic#Adder|hardware adder]] <ref>[http://www.aoki.ecei.tohoku.ac.jp/arith/mg/algorithm.html#fsa_pfx Hardware algorithms for arithmetic modules] from the ARITH research group, Aoki lab., [https://en.wikipedia.org/wiki/Tohoku_University Tohoku University]</ref> , requires the initial carry bits as generator, thus the [[General Setwise Operations#Intersection|intersection]] of both summands, while the propagator is the modulo 2 sum, the [[General Setwise Operations#ExclusiveOr|exclusive or]] of both summands. To avoid inter byte overflows, the propagator has the least significant bits of each byte cleared. However the final carries need one further masked shift and the modulo two sum with the initial propagator.
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