Question: 9. a. Find any IEEE double-precision floating-point number x in the range 1 < x < 2 such that x * (1/x) # 1;
9. a. Find any IEEE double-precision floating-point number x in the range 1 < x < 2 such that x * (1/x) # 1; that is, fl(x fl(1/x)) is not exactly 1. b. Using a brute force search, find the smallest such number. (Edelman [1994] shows how to prune the search substantially using mathematical analy- sis.) 9. a. Find any IEEE double-precision floating-point number x in the range 1 < x < 2 such that x * (1/x) # 1; that is, fl(x fl(1/x)) is not exactly 1. b. Using a brute force search, find the smallest such number. (Edelman [1994] shows how to prune the search substantially using mathematical analy- sis.)
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