Question: Q2. 20 points) Floating-point arithmetic. Real numbers and arithmetic is not exactly represented in comput- ers. For this reason, we need to work with a
Q2. 20 points) Floating-point arithmetic. Real numbers and arithmetic is not exactly represented in comput- ers. For this reason, we need to work with a floating-point system, which are an approximated representation of real numbers. a) (5 points) Define (in words) the concepts of machine epsilon, unit round-off, overflow, and underflow. b) (5 points) Using MATLAB and the values r = 1.0+(2-53+2-53) and y = (1.0+2-53) +2-53, demonstrate that floating-point arithmetic is not associative. c) (10 points) Consider the following piece of code: 2 = 0; while z
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