Transcription of Fixed-Point Arithmetic: An Introduction
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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 .. Addition Result .. Unsigned Multiplication .. Signed Multiplication .. Unsigned Division .. Signed Division .. Wordlength Reduction .. Shifting .. Literal Shift.
them (at first glance, anyway) as positive integers (i.e., the natural binary representation, defined in the next section). However, the meaning of an N-bit binary word depends entirely on its interpretation, i.e., on the representation set and the mapping we choose to use.
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