Smallest absolute relative true error


Problem:

Using the hypothetical binary floating-point number set from Example 3.5 (0111100) with binary, what is the smallest absolute relative true error that can be achieved while expressing e? What 7-bit word gives this error? What simple changes could be made to number system to decrease the quantization error?

Note: Please describe comprehensively and provide step by step solution.

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Civil Engineering: Smallest absolute relative true error
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