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Let a = 1.0 × 29 , b = −1.0 × 29 and c = 1.0 × 21 . Using thesimple floating-point model described in the text (therepresentation uses a 14-bit format, 5 bits for the exponent with abias of 15, a normalized mantissa of 8 bits, and a single sign bit forthe number), perform the following calculations, paying closeattention to the order of operations. What can you say about thealgebraic properties of floating-point arithmetic in our finitemodel? Do you think this algebraic anomaly holds undermultiplication as well as addition?1. b + (a + c) =2. (b + a) + c =

Let a = 1.0 × 29 , b = −1.0 × 29 and c = 1.0 × 21 . Using thesimple floating-point model described in the text (therepresentation uses a 14-bit format, 5 bits for the exponent with abias of 15, a normalized mantissa of 8 bits, and a single sign bit forthe number), perform the following calculations, paying closeattention to the order of operations. What can you say about thealgebraic properties of floating-point arithmetic in our finitemodel? Do you think this algebraic anomaly holds undermultiplication as well as addition?1. b + (a + c) =2. (b + a) + c =

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Let a = 1.0 × 29 , b = −1.0 × 29 and c = 1.0 × 21 . Using the
simple floating-point model described in the text (the
representation uses a 14-bit format, 5 bits for the exponent with a
bias of 15, a normalized mantissa of 8 bits, and a single sign bit for
the number), perform the following calculations, paying close
attention to the order of operations. What can you say about the
algebraic properties of floating-point arithmetic in our finite
model? Do you think this algebraic anomaly holds under
multiplication as well as addition?
1. b + (a + c) =
2. (b + a) + c =

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