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[Arithmetic Precision For Ellipsoid Algorithm For Linear Programming by Christos H. Papadimitriou] [page 182:]1

  1. How to make the approximation
  2. Why $x$^ $= 13 \cdot 2^{-2}$ instead of $12 \cdot 2^{-2} [\text{if } P=4 \Rightarrow 3.156 = 11.0010\cdots \Rightarrow P \text{ digit is } 1100 == 12]$
  3. If it is possible, could you help me realize this approximation and how to define '+', '-', '\', '*', 'square root' for this approximated numbers with p precision.
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  • $\begingroup$ page 182 Arithmetic Precision $\endgroup$ – Hovsep Sargis Papoyan Mar 3 '18 at 18:45
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    $\begingroup$ Welcome to MSE! Please include the relevant question in here. This would make it much easier for us to provide a good answer. Also, please format your question with MathJax. Here is a quick tutorial: math.meta.stackexchange.com/questions/5020/… $\endgroup$ – idok Mar 3 '18 at 18:57

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