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→History: clarification: it must be clear that the rounding is to the destination precision and that there is a single rounding (i.e. there are no intermediate results, these are the exact results that are directly rounded to the destination precision); also warn about the possible wider exponent range (which is explicitly allowed by IEEE 754-1985). |
m →Floating-point numbers: re-align long equation following typographic conventions, and manually size parens around summation sign (LaTeX default is too big) |
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When this is stored in memory using the IEEE 754 encoding, this becomes the [[significand]] {{mvar|s}}. The significand is assumed to have a binary point to the right of the leftmost bit. So, the binary representation of π is calculated from left-to-right as follows:
<math display=block>\begin{align}
\end{align}</math><!-- Ensure correct rounding by taking one more digit for the intermediate decimal approximation. -->
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