1. Consider a fictitious floating-point number system composed of the following numbers: S = {b.b2b3 ...
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1. Consider a fictitious floating-point number system composed of the following numbers: S = {±b₁.b2b3 × 2ty : b2, b3, y = 0 or 1, and b₁ = 1 unless b₁ = b2 = b3 = y = 0}. (a) Draw a portion of the real axis and plot the elements of S. (You first need to convert the elements of S to base 10.) Comment on the distribution of the elements. In particular, is the distribution uniform? (b) S contains twenty-five elements. What are the largest and smallest (in absolute value, nonzero) floating-point numbers? What is machine epsilon? Give your answers in base 2 and base 10. 1. Consider a fictitious floating-point number system composed of the following numbers: S = {±b₁.b2b3 × 2ty : b2, b3, y = 0 or 1, and b₁ = 1 unless b₁ = b2 = b3 = y = 0}. (a) Draw a portion of the real axis and plot the elements of S. (You first need to convert the elements of S to base 10.) Comment on the distribution of the elements. In particular, is the distribution uniform? (b) S contains twenty-five elements. What are the largest and smallest (in absolute value, nonzero) floating-point numbers? What is machine epsilon? Give your answers in base 2 and base 10.
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Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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