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CSCI 4100 TEST 1 SPRING 2005
STUDY GUIDE
CHAPTER 1: INTRODUCTION
1. What is the maximum absolute error in rounding a number to n decimal digits? What is the maximum absolute error in truncating a number to n decimal digits?
2. Be able to answer the following questions related to the Taylor series.
a) Find the TSE of some f(x) near x=c.
b) Truncate the above to give a representation of O(xn).
c) Use the answer from part b to approximate f(x) at some specific x.
d) Use the error expression given in class to approximate the maximum error for part c.
e) What is the actual error?
CHAPTER 2: NUMBER REPRESENTATION AND ERRORS
1. Be able to convert real numbers to and from bases 10, 2, 8, and 16.
2. Describe IEEE normalized single precision and double precision floating-point representation.
3. Give the IEEE normalized single precision representation of a decimal number. Given an IEEE normalized single precision representation, give the decimal number it represents.
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