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CIS371 (Roth/Martin): Floating Point1CIS 371Computer Organization and DesignUnit 7: Floating PointCIS371 (Roth/Martin): Floating Point2This Unit: Floating Point Arithmetic Formats Precision and range IEEE 754 standard Operations Addition and subtraction Multiplication and division Error analysis Error and bias Rounding and truncationCPUMemI/OSystem softwareAppAppAppCIS371 (Roth/Martin): Floating Point3Readings P+H Chapter and (Roth/Martin): Floating Point4Floating Point (FP) Numbers Floating Point numbers: numbers in scientific notation Two uses Use I: real numbers (numbers with non-zero fractions) * 10 34 Use II: really big numbers * 108 * 1023 Aside: best not used for currency valuesCIS371 (Roth/Martin): Floating Point5The Land Before Floating Point Early computers were built for scientific calculations ENIAC: balli

CIS371 (Roth/Martin): Floating Point 13 More About Normalization •What is –0.5 in normalized floating point? •Sign: 1 •0.5 = 1 * 2–1 •Significand: 1 = 1*20 = 100 0000 0000 0000 0000 0000 •Exponent: -1 = 1111 1111

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