About: Wallace tree

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Wallace tree Goto Sponge NotDistinct Permalink

An Entity of Type : yago:WikicatDigitalCircuits, within Data Space : dbpedia.org associated with source document(s)
QRcode icon

http://dbpedia.org/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FWallace_tree

A Wallace multiplier is a hardware implementation of a binary multiplier, a digital circuit that multiplies two integers. It uses a selection of full and half adders (the Wallace tree or Wallace reduction) to sum partial products in stages until two numbers are left. Wallace multipliers reduce as much as possible on each layer, whereas Dadda multipliers try to minimize the required number of gates by postponing the reduction to the upper layers. Wallace multipliers were devised by the Australian computer scientist Chris Wallace in 1964. The Wallace tree has three steps:

Attributes	Values
rdf:type	yago:Artifact100021939 yago:Circuit103033362 yago:Device103183080 yago:ElectricalDevice103269401 yago:Instrumentality103575240 yago:Object100002684 yago:PhysicalEntity100001930 yago:Whole100003553 yago:WikicatDigitalCircuits
rdfs:label	Wallace-Tree-Multiplizierer (de) ウォレス木 (ja) Wallace tree (en)
rdfs:comment	Ein Wallace-Tree-Multiplizierer ist ein Multiplizierer, der in der Digitaltechnik eingesetzt wird. Das Verfahren ist benannt nach Christopher Stewart Wallace, welcher diesen Multiplizierer 1964 vorstellte. (de) A Wallace multiplier is a hardware implementation of a binary multiplier, a digital circuit that multiplies two integers. It uses a selection of full and half adders (the Wallace tree or Wallace reduction) to sum partial products in stages until two numbers are left. Wallace multipliers reduce as much as possible on each layer, whereas Dadda multipliers try to minimize the required number of gates by postponing the reduction to the upper layers. Wallace multipliers were devised by the Australian computer scientist Chris Wallace in 1964. The Wallace tree has three steps: (en)
foaf:depiction
dcterms:subject	1964 in science 1964 introductions Multiplication Arithmetic logic circuits Computer arithmetic
Wikipage page ID	4180990 (xsd:integer)
Wikipage revision ID	1044261961 (xsd:integer)
Link from a Wikipage to another Wikipage	Dadda multiplier NC (complexity) Computational complexity theory Computer hardware 1964 in science 1964 introductions Multiplication Adder (electronics) Arithmetic logic circuits Computer arithmetic Binary multiplier Chris Wallace (computer scientist) Long multiplication Half adder Booth encoding Full adder Dadda tree Gate delay
Link from a Wikipage to an external page	https://web.archive.org/web/20180703001722/http:/www.quadibloc.com/comp/cp0202.htm http://www.quadibloc.com/comp/cp0202.htm https://web.archive.org/web/20120306195308/http:/www.openhdl.com/vhdl/655-vhdl-component-wallace-tree-multiplier-generic.html
sameAs	Wallace tree Wallace tree Wallace tree Wallace tree Wallace tree Wallace tree
dbp:wikiPageUsesTemplate	dbt:Cite_web dbt:Refimprove dbt:Reflist dbt:Short_description
thumbnail	wiki-commons:Special:FilePath/Wallace_tree_8x8_(corrected).svg?width=300
has abstract	Ein Wallace-Tree-Multiplizierer ist ein Multiplizierer, der in der Digitaltechnik eingesetzt wird. Das Verfahren ist benannt nach Christopher Stewart Wallace, welcher diesen Multiplizierer 1964 vorstellte. (de) A Wallace multiplier is a hardware implementation of a binary multiplier, a digital circuit that multiplies two integers. It uses a selection of full and half adders (the Wallace tree or Wallace reduction) to sum partial products in stages until two numbers are left. Wallace multipliers reduce as much as possible on each layer, whereas Dadda multipliers try to minimize the required number of gates by postponing the reduction to the upper layers. Wallace multipliers were devised by the Australian computer scientist Chris Wallace in 1964. The Wallace tree has three steps: 1. * Multiply each bit of one of the arguments, by each bit of the other. 2. * Reduce the number of partial products to two by layers of full and half adders. 3. * Group the wires in two numbers, and add them with a conventional adder. Compared to naively adding partial products with regular adders, the benefit of the Wallace tree is its faster speed. It has reduction layers, but each layer has only propagation delay. A naive addition of partial products would require time.As making the partial products is and the final addition is , the total multiplication is , not much slower than addition. From a complexity theoretic perspective, the Wallace tree algorithm puts multiplication in the class NC1.The downside of the Wallace tree, compared to naive addition of partial products, is its much higher gate count. These computations only consider gate delays and don't deal with wire delays, which can also be very substantial. The Wallace tree can be also represented by a tree of 3/2 or 4/2 adders. It is sometimes combined with Booth encoding. (en)
prov:wasDerivedFrom	wikipedia-en:Wallace_tree?oldid=1044261961&ns=0
page length (characters) of wiki page	8245 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Wallace_tree
is Link from a Wikipage to another Wikipage of	Dadda multiplier Multiplication List of 7400-series integrated circuits Computer engineering compendium Adder (electronics) Binary multiplier Booth's multiplication algorithm Carry-save adder Chris Wallace (computer scientist) Wallace Multiplication algorithm Wallace Adder Wallace Multiplier Wallace Tree Wallace Tree Adder Wallace Tree Multiplier Wallace adder Wallace tree adder Wallace tree multiplier Wallace multiplier
is Wikipage redirect of	Wallace Adder Wallace Multiplier Wallace Tree Wallace Tree Adder Wallace Tree Multiplier Wallace adder Wallace tree adder Wallace tree multiplier Wallace multiplier
is Wikipage disambiguates of	Wallace
is foaf:primaryTopic of	wikipedia-en:Wallace_tree

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3331 as of Sep 2 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (61 GB total memory, 45 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software