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The ACM Turing Award (1989) was conferred to Prof William Kahan for

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The ACM Turing Award (1989) was conferred to Prof.
William Kahan for his contributions to floating-point
computations. The Turing Award Citation was: For his
fundamental contributions to numerical analysis. One of
the foremost expats or. floating-point computations. Kalian
has dedicated himself to \"making the world safe for
numerical computations\". Why are floating-point numbers
needed in scientific computation?
Solution
Any queries please comment
Since computer memory is limited, you cannot store
numbers with infinite precision, no matter whether you use
binary fractions or decimal ones: at some point you have to
cut off.
To satisfy the engineer and the chip designer, a number
format has to provide accuracy for numbers at very
different magnitudes. However, only relative accuracy is
needed. To satisfy the physicist, it must be possible to do
calculations that involve numbers with different
magnitudes.
Basically, having a fixed number of integer and fractional
digits is not useful - and the solution is a format with a
floating point

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The ACM Turing Award (1989) was conferred to Prof. William Kahan for his contributions to floating -point computations. The Turing Award Citation was: For his fundamental contributions to numerical analysis. One of the foremost expats or. floating-point computations. Kalian has dedicated himself to \"making the world safe for numerical computations\". Why are floating-point numbers needed in scientific computation? Solution Any queries please comment Since computer memory is limited, you cannot store numbers with infinite precision, no matter whether you use binary fractions or decimal ones: ...
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