Booth's multiplication algorithm: Difference between revisions

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'''Booth's multiplication algorithm''' is a [[multiplication algorithm]] that multiplies two signed [[base 2|binary]] numbers in [[two's complement|two's complement notation]]. The [[algorithm]] was invented by [[Andrew Donald Booth]] in 1950 while doing research on [[crystallography]] at [[Birkbeck, University of London|Birkbeck College]] in [[Bloomsbury]], [[London]].<ref name="Booth_1951"/> Booth's algorithm is of interest in the study of [[computer architecture]].
 
==The algorithm==
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==References==
{{reflist|refs=
*<ref name="Booth_1951">{{cite journal |title=A signed binary multiplication technique |author-first=Andrew Donald |author-last=Booth |author-link=Andrew Donald Booth |journal=The Quarterly Journal of Mechanics and Applied Mathematics |volume=IV |issue=2 |date=1951 |url=http://bwrc.eecs.berkeley.edu/Classes/icdesign/ee241_s00/PAPERS/archive/booth51.pdf}}</ref>
<ref name="Chen_1992">{{cite book |title=Signal processing handbook |author-first=Chi-hau |author-last=Chen |publisher=[[CRC Press]] |date=1992 |isbn=978-0-8247-7956-6 |page=234 |url=https://books.google.com/books?id=10Pi0MRbaOYC&pg=PA234}}</ref>
}}
 
==Further reading==
* {{cite journal |title=A signed binary multiplication technique |author-first=Andrew Donald |author-last=Booth |author-link=Andrew Donald Booth |journal=The Quarterly Journal of Mechanics and Applied Mathematics |volume=IV |issue=2 |date=1951 |url=http://bwrc.eecs.berkeley.edu/Classes/icdesign/ee241_s00/PAPERS/archive/booth51.pdf}}
* {{cite journal |author-last=Collin |author-first=Andrew |title=Andrew Booth's Computers at Birkbeck College |journal=Resurrection |issue=5 |date=Spring 1993 |___location=London |publisher=[[Computer Conservation Society]] |url=http://www.cs.man.ac.uk./CCS/res/res05.htm#e}}
* {{cite book |author-last1=Patterson |author-first1=David Andrew |author-link1=David Patterson (computer scientist) |author-first2=John Leroy |author-last2=Hennessy |author-link2=John L. Hennessy |title=Computer Organization and Design: The Hardware/Software Interface |edition=Second |isbn=1-55860-428-6 |___location=San Francisco, California, USA |publisher=[[Morgan Kaufmann Publishers]] |date=1998}}