TWI332625B - Power-efficient sign extension for booth multiplication methods and systems - Google Patents

Power-efficient sign extension for booth multiplication methods and systems Download PDF

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Publication number
TWI332625B
TWI332625B TW096105773A TW96105773A TWI332625B TW I332625 B TWI332625 B TW I332625B TW 096105773 A TW096105773 A TW 096105773A TW 96105773 A TW96105773 A TW 96105773A TW I332625 B TWI332625 B TW I332625B
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TW
Taiwan
Prior art keywords
multiplication
product
sign
tree
puss
Prior art date
Application number
TW096105773A
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English (en)
Chinese (zh)
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TW200802078A (en
Inventor
Shankar Krithivasan
Christopher Edward Koob
William C Anderson
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Qualcomm Inc
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Publication of TW200802078A publication Critical patent/TW200802078A/zh
Application granted granted Critical
Publication of TWI332625B publication Critical patent/TWI332625B/zh

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Classifications

    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
    • G06F7/52—Multiplying; Dividing
    • G06F7/523—Multiplying only
    • G06F7/533—Reduction of the number of iteration steps or stages, e.g. using the Booth algorithm, log-sum, odd-even
    • G06F7/5334—Reduction of the number of iteration steps or stages, e.g. using the Booth algorithm, log-sum, odd-even by using multiple bit scanning, i.e. by decoding groups of successive multiplier bits in order to select an appropriate precalculated multiple of the multiplicand as a partial product
    • G06F7/5336—Reduction of the number of iteration steps or stages, e.g. using the Booth algorithm, log-sum, odd-even by using multiple bit scanning, i.e. by decoding groups of successive multiplier bits in order to select an appropriate precalculated multiple of the multiplicand as a partial product overlapped, i.e. with successive bitgroups sharing one or more bits being recoded into signed digit representation, e.g. using the Modified Booth Algorithm
    • G06F7/5338—Reduction of the number of iteration steps or stages, e.g. using the Booth algorithm, log-sum, odd-even by using multiple bit scanning, i.e. by decoding groups of successive multiplier bits in order to select an appropriate precalculated multiple of the multiplicand as a partial product overlapped, i.e. with successive bitgroups sharing one or more bits being recoded into signed digit representation, e.g. using the Modified Booth Algorithm each bitgroup having two new bits, e.g. 2nd order MBA
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
    • G06F7/52—Multiplying; Dividing
    • G06F7/523—Multiplying only
    • G06F7/533—Reduction of the number of iteration steps or stages, e.g. using the Booth algorithm, log-sum, odd-even
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
    • G06F7/499—Denomination or exception handling, e.g. rounding or overflow
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
    • G06F7/499—Denomination or exception handling, e.g. rounding or overflow
    • G06F7/49994—Sign extension
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
    • G06F7/544—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices for evaluating functions by calculation
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
    • G06F7/544—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices for evaluating functions by calculation
    • G06F7/5443—Sum of products

Landscapes

  • Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Analysis (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computational Mathematics (AREA)
  • Computing Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Complex Calculations (AREA)
  • Compression, Expansion, Code Conversion, And Decoders (AREA)
  • Mobile Radio Communication Systems (AREA)
TW096105773A 2006-02-15 2007-02-15 Power-efficient sign extension for booth multiplication methods and systems TWI332625B (en)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
US11/356,359 US7797366B2 (en) 2006-02-15 2006-02-15 Power-efficient sign extension for booth multiplication methods and systems

Publications (2)

Publication Number Publication Date
TW200802078A TW200802078A (en) 2008-01-01
TWI332625B true TWI332625B (en) 2010-11-01

Family

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Family Applications (1)

Application Number Title Priority Date Filing Date
TW096105773A TWI332625B (en) 2006-02-15 2007-02-15 Power-efficient sign extension for booth multiplication methods and systems

Country Status (7)

Country Link
US (1) US7797366B2 (https=)
EP (1) EP1984809A1 (https=)
JP (4) JP2009527064A (https=)
KR (2) KR101086560B1 (https=)
CN (2) CN102279724B (https=)
TW (1) TWI332625B (https=)
WO (1) WO2007095626A1 (https=)

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US7797366B2 (en) * 2006-02-15 2010-09-14 Qualcomm Incorporated Power-efficient sign extension for booth multiplication methods and systems
US7809783B2 (en) * 2006-02-15 2010-10-05 Qualcomm Incorporated Booth multiplier with enhanced reduction tree circuitry
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US10802826B2 (en) 2017-09-29 2020-10-13 Intel Corporation Apparatus and method for performing dual signed and unsigned multiplication of packed data elements
US10664277B2 (en) 2017-09-29 2020-05-26 Intel Corporation Systems, apparatuses and methods for dual complex by complex conjugate multiply of signed words
US10534838B2 (en) 2017-09-29 2020-01-14 Intel Corporation Bit matrix multiplication
US10795676B2 (en) 2017-09-29 2020-10-06 Intel Corporation Apparatus and method for multiplication and accumulation of complex and real packed data elements
US10795677B2 (en) 2017-09-29 2020-10-06 Intel Corporation Systems, apparatuses, and methods for multiplication, negation, and accumulation of vector packed signed values
US10514924B2 (en) 2017-09-29 2019-12-24 Intel Corporation Apparatus and method for performing dual signed and unsigned multiplication of packed data elements
US11074073B2 (en) 2017-09-29 2021-07-27 Intel Corporation Apparatus and method for multiply, add/subtract, and accumulate of packed data elements
US11243765B2 (en) 2017-09-29 2022-02-08 Intel Corporation Apparatus and method for scaling pre-scaled results of complex multiply-accumulate operations on packed real and imaginary data elements
US11256504B2 (en) * 2017-09-29 2022-02-22 Intel Corporation Apparatus and method for complex by complex conjugate multiplication
CN110688087B (zh) * 2019-09-24 2024-03-19 上海寒武纪信息科技有限公司 数据处理器、方法、芯片及电子设备
CN110554854B (zh) * 2019-09-24 2024-05-03 上海寒武纪信息科技有限公司 数据处理器、方法、芯片及电子设备
TWI696947B (zh) 2019-09-26 2020-06-21 中原大學 乘積累加裝置及其方法
JP7317151B2 (ja) * 2020-02-06 2023-07-28 三菱電機株式会社 複素乗算回路
JP7381426B2 (ja) * 2020-03-19 2023-11-15 株式会社東芝 演算回路
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Also Published As

Publication number Publication date
CN101384990B (zh) 2012-09-19
JP2012089144A (ja) 2012-05-10
US20070192399A1 (en) 2007-08-16
KR20110114698A (ko) 2011-10-19
JP5215433B2 (ja) 2013-06-19
CN102279724A (zh) 2011-12-14
JP2014209347A (ja) 2014-11-06
TW200802078A (en) 2008-01-01
CN101384990A (zh) 2009-03-11
CN102279724B (zh) 2015-09-16
JP2009527064A (ja) 2009-07-23
KR101173405B1 (ko) 2012-08-10
JP5611923B2 (ja) 2014-10-22
KR20080094813A (ko) 2008-10-24
EP1984809A1 (en) 2008-10-29
JP2011222024A (ja) 2011-11-04
KR101086560B1 (ko) 2011-11-23
US7797366B2 (en) 2010-09-14
WO2007095626A1 (en) 2007-08-23

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