
Floating Point SystemFloating Point SystemObjective
VocabularyBase, Sign bit, Exponent, Mantissa, underflow, overflow, rounding, chopping, roundoff error, absolute error, relative error, significant digits, truncation error, machine epsilon. Concepts
Extra:
Some External Links:Floating Points, An excellent general introduction by Cleve Moler on the floating points and IEEE Standard. Basic Issues in Floating Point Arithmetic and Error Analysis, Supplementary Lecture Notes of J. Demmel on Floating Point System, University of California at Berkeley, September 1995. Miscalculating Area and Angles of a Needlelike Triangle, Notes of W. Kahan on common misconceptions of floating point calculations, University of California at Berkeley, September 1997. IEEE Floating Point Arithmetic, More advanced Lecture Notes of W. Kahan on the Status of IEEE Standard 754 for Binary FloatingPoint Arithmetic, University of California at Berkeley, September 1995. FloatingPoint Number Tutorial, Java applets are used to visualize the significance of mantissa size and exponent range and the meaning of underflow, overflow, and roundoff error.
ReferencesGoldberg, David, What every computer scientist should know about floatingpoint arithmetic, ACM Computing Surveys, Vol.23, No. 1 (March 1991), pp. 548 (Electronic version not available.)
Correction to Misconceptions
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