Computer Arithmetic Principles， Architectures，and VLSI Design.pdf

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1、Eidgenossische¨EcolepolytechniquefederaledeZurich´´TechnischeHochschulePolitecnicofederalediZurigoZurich¨SwissFederalInstituteofTechnologyZurichInstitutfurIntegrierteSysteme¨IntegratedSystemsLaboratoryLecturenotesonComputerArithmetic:Principles,Architectur

2、es,andVLSIDesignMarch16,1999RetoZimmermannIntegratedSystemsLaboratorySwissFederalInstituteofTechnology(ETH)CH-8092Zurich,Switzerland¨zimmermann@iis.ee.ethz.chCopyrightc1999byIntegratedSystemsLaboratory,ETHZurich¨http://www.iis.ee.ethz.ch/zimmi/publication

3、s/comparithnotes.ps.gzContentsContentsContents4.3Carry-PropagateAdders(CPA)264.4Carry-SaveAdder(CSA)451IntroductionandConventions44.5Multi-OperandAdders461.1Outli

4、ne44.6SequentialAdders521.2Motivation45Simple/Addition-BasedOperations531.3Conventions55.1C

5、omplementandSubtraction531.4RecursiveFunctionEvaluation65.2Increment/Decrement542ArithmeticOperations85.3Counting582.1

6、Overview85.4Comparison,Coding,Detection602.2ImplementationTechniques95.5Shift,Extension,Saturation643NumberRepresentations105

7、.6AdditionFlags663.1BinaryNumberSystems(BNS)105.7ArithmeticLogicUnit(ALU)683.2GrayNumbers136Multiplication693.3

8、RedundantNumberSystems146.1MultiplicationBasics693.4ResidueNumberSystems(RNS)166.2UnsignedArrayMultiplier713.5Floatin