Find the binary expansion of 2/3 and determine which machine number x− or x+ (left-shifted, with 23-bit mantissa) is closer to 2/3. Then find the relative rounding error associated with this approximation.

Systems Architecture
7th Edition
ISBN:9781305080195
Author:Stephen D. Burd
Publisher:Stephen D. Burd
Chapter8: Data And Network Communication Technology
Section: Chapter Questions
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Find the binary expansion of 2/3 and determine which machine number x− or x+ (left-shifted, with 23-bit mantissa) is closer to 2/3. Then find the relative rounding error associated with this approximation.
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