Question 8 Assigning a value to a floating point variable that is too large for the computer to represent is a condition called _____ O overcapacity O system error O bit error O overflow
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Adi S.
Floating-point operations In general, real numbers (with infinite decimal expansions) cannot be represented exactly in a computer by floating-point numbers (with finite decimal expansions). Suppose floating-point numbers on a particular computer carry an error of at most $10^{-16} .$ Estimate the maximum error that is committed in evaluating the following functions. Express the error in absolute and relative (percent) terms. a. $f(x, y)=x y$ b. $f(x, y)=\frac{x}{y}$ c. $F(x, y, z)=x y z$ d. $F(x, y, z)=\frac{x / y}{z}$
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Tangent Planes and Linear Approximation
'1. For the normalized floating point system (2,5,~5,7) A. What is the rounding unit? Estimate the absolute error A(z)| and relative error error by chopping and rounding (use the results in the Theorem) . C. Use the result in Part B to estimate the errors of the floating point representation o = = 105.'
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