Numerical Representation and Analysis

Numerical Representation and Analysis - Numerical...

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Unformatted text preview: Numerical Representation and Analysis For RC App Designs Numerical Representations Order of preference 1. Integer 2. Fixed-point 3. FP Floating-point (single-precision) 4. FP Floating-point (double-precision) Integer representation Advantages: o. Very efficient hardware implementations (data paths, storage, etc.) o. Basic operations (add, subtract, multiply, etc.) are inexpensive (wrt. area, speed, power) Disadvantages, some applications cannot use integer representation, e.g., Fixed-Point Representation +118.625 in 8.8 format = 0111 0110^1010 0000- 118.625 in 8.8 format (2s complement) 1000 1001^0101 1111 + 1 = 1000 1001^0110 0000 Comparison to Floating-Point representation Exponent is fixed o Dynamic range is reduced o But, no need for alignment (barrel shifter) Basic math operations essentially identical to those of integer ops o Low area usage o Floating-Point (FP) Adder Considerations for Fixed-Point Design...
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This note was uploaded on 03/27/2012 for the course EEL 4930 taught by Professor Staff during the Spring '08 term at University of Florida.

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Numerical Representation and Analysis - Numerical...

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