I want to know about the rounding rules to the binary numbers. What if you were working with a single precision computer and had to round x = (1.1111...1) * 2^-1 with the last 1 being the 26th digit? How would you do that? Can you give different examples of binary numbers that you would have to use other rules to round?

Systems Architecture
7th Edition
ISBN:9781305080195
Author:Stephen D. Burd
Publisher:Stephen D. Burd
Chapter3: Data Representation
Section: Chapter Questions
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I want to know about the rounding rules to the binary numbers. What if you were working with a single precision computer and had to round x = (1.1111...1) * 2^-1 with the last 1 being the 26th digit? How would you do that? Can you give different examples of binary numbers that you would have to use other rules to round?

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