inclass1-floating-point

# inclass1-floating-point

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3/15/2016 [2/4] Floating point "machine epsilon" - In-class work: Floating Point - RELATE 1/1 Floating point "machine epsilon" For a (binary) ﬂoating point system of the form that has an exponent range from to and that uses three bits to store the significand , what is the difference between 1 and the smallest representable number greater than one? (s1.s2s3)2 2p −128 127 s Choice* 2−3 2−4 2−1

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3/15/2016 [3/4] Floating point: exact representation - In-class work: Floating Point - RELATE 1/1 Floating point: exact representation For a (binary) ﬂoating point system of the form that has an exponent range from to and that uses three bits to store the significand , which of the following sets of numbers can be represented exactly, i.e. without rounding? (s1.s2s3)2 2p −128 127 s Choice* The integers 1 through 10 The integers 1 through 5 2200
3/15/2016 [4/4] Finite Differences vs. Floating Point - In-class work: Floating Point - RELATE
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