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Fixed-Point Arithmetic: An Introduction

STechnical ReferenceFixed-Point Arithmetic: An Introduction1 (13) YatesAugust 23, 2007 11:05PA5 Arithmetic: An IntroductionRandy YatesAugust 23, 2007ss i g n a lp r o c e s s i n gs y s t e m using LATEX2 Digital Signal LabsPublic InformationsTechnical ReferenceFixed-Point Arithmetic: An Introduction2 (13) YatesAugust 23, 2007 11:05PA5 Introduction32 Fixed-Point Binary Unsigned Fixed-Point Rationals .. 43 The Operations of One s Complement and Two s Complement54 Signed Two s Complement Fixed-Point Rationals55 Fundamental Rules of Fixed-Point Unsigned Wordlength .. Signed Wordlength .. Unsigned Range .. Signed Range .. Addition Operands.

numbers are simple signed two’s complement integers. Contrast this against the Motorola 56k series which performs two’s complement fractional arithmetic, with values always in the range −1≤ x < +1. It is my hope that this material is clear, accurate, and helpful. If you find any errors or inconsistencies, please email me at yates@ieee.org.

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