TW200627261A - A multiplication device - Google Patents

A multiplication device

Info

Publication number
TW200627261A
TW200627261A TW094127741A TW94127741A TW200627261A TW 200627261 A TW200627261 A TW 200627261A TW 094127741 A TW094127741 A TW 094127741A TW 94127741 A TW94127741 A TW 94127741A TW 200627261 A TW200627261 A TW 200627261A
Authority
TW
Taiwan
Prior art keywords
overflow
multiplicand
outputs
multiplier
partial
Prior art date
Application number
TW094127741A
Other languages
English (en)
Inventor
Daisuke Takeuchi
Kazufumi Tanoue
Original Assignee
Matsushita Electric Ind Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Matsushita Electric Ind Co Ltd filed Critical Matsushita Electric Ind Co Ltd
Publication of TW200627261A publication Critical patent/TW200627261A/zh

Links

Classifications

    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/38Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/48Methods 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
    • G06F7/499Denomination or exception handling, e.g. rounding or overflow
    • G06F7/49905Exception handling
    • G06F7/4991Overflow or underflow
    • G06F7/49921Saturation, i.e. clipping the result to a minimum or maximum value
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/38Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/48Methods 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
    • G06F7/52Multiplying; Dividing
    • G06F7/523Multiplying only
    • G06F7/533Reduction of the number of iteration steps or stages, e.g. using the Booth algorithm, log-sum, odd-even
    • G06F7/5334Reduction 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
    • G06F7/5336Reduction 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
    • G06F7/5338Reduction 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

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computing Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Complex Calculations (AREA)
  • Error Detection And Correction (AREA)
TW094127741A 2004-08-26 2005-08-15 A multiplication device TW200627261A (en)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP2004246881 2004-08-26

Publications (1)

Publication Number Publication Date
TW200627261A true TW200627261A (en) 2006-08-01

Family

ID=35967309

Family Applications (1)

Application Number Title Priority Date Filing Date
TW094127741A TW200627261A (en) 2004-08-26 2005-08-15 A multiplication device

Country Status (5)

Country Link
US (1) US20080098057A1 (zh)
JP (1) JP4376904B2 (zh)
CN (1) CN100517213C (zh)
TW (1) TW200627261A (zh)
WO (1) WO2006022089A1 (zh)

Families Citing this family (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8082287B2 (en) * 2006-01-20 2011-12-20 Qualcomm Incorporated Pre-saturating fixed-point multiplier
US7958180B2 (en) * 2007-07-05 2011-06-07 International Business Machines Corporation Multiplier engine
CN111258542B (zh) * 2018-11-30 2022-06-17 上海寒武纪信息科技有限公司 乘法器、数据处理方法、芯片及电子设备
CN110209375B (zh) * 2019-05-30 2021-03-26 浙江大学 一种基于radix-4编码和差分权重存储的乘累加电路
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
CN111752528B (zh) * 2020-06-30 2021-12-07 无锡中微亿芯有限公司 一种支持高效乘法运算的基本逻辑单元
CN116991359B (zh) * 2023-09-26 2023-12-22 上海为旌科技有限公司 Booth乘法器、混合Booth乘法器及运算方法

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH11126157A (ja) * 1997-10-24 1999-05-11 Matsushita Electric Ind Co Ltd 乗算方法および乗算回路

Also Published As

Publication number Publication date
CN100517213C (zh) 2009-07-22
WO2006022089A1 (ja) 2006-03-02
JPWO2006022089A1 (ja) 2008-05-08
CN101010665A (zh) 2007-08-01
JP4376904B2 (ja) 2009-12-02
US20080098057A1 (en) 2008-04-24

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