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Alt mantissa to significand, ref spec for specials

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John Winans 2020-09-04 08:17:05 -05:00
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2 changed files with 19 additions and 3 deletions
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10
book/bibliography.bib
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@ -159,3 +159,13 @@
howpublished = {\href{https://www.mathsisfun.com/definitions/subtrahend.html}{www.mathsisfun.com/definitions/subtrahend.html}}, howpublished = {\href{https://www.mathsisfun.com/definitions/subtrahend.html}{www.mathsisfun.com/definitions/subtrahend.html}},
note = {Accessed: 2018-06-02} note = {Accessed: 2018-06-02}
} }
@article{ieee:754,
author={},
journal={IEEE Std 754-2019 (Revision of IEEE 754-2008)},
title={IEEE Standard for Floating-Point Arithmetic},
year={2019},
volume={},
number={},
pages={1-84},}

12
book/float/chapter.tex
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@ -8,7 +8,7 @@
\label{chapter::floatingpoint} \label{chapter::floatingpoint}
This section provides an overview of the IEEE-754 32-bit binary floating This section provides an overview of the IEEE-754 32-bit binary floating
point format. point format.\cite{ieee:754}
\begin{itemize} \begin{itemize}
\item Recall that the place values for integer binary numbers are: \item Recall that the place values for integer binary numbers are:
@ -121,10 +121,10 @@ min exponent & -126 & -1022 \\
\hline \hline
\end{tabular} \end{tabular}
\item When the exponent is all ones, the mantissa is all zeros, and \item When the exponent is all ones, the significand is all zeros, and
the sign is zero, the number represents positive infinity. the sign is zero, the number represents positive infinity.
\item When the exponent is all ones, the mantissa is all zeros, and \item When the exponent is all ones, the significand is all zeros, and
the sign is one, the number represents negative infinity. the sign is one, the number represents negative infinity.
\item Note that the binary representation of an IEEE-754 number in memory \item Note that the binary representation of an IEEE-754 number in memory
@ -151,6 +151,12 @@ largest exponent allowed are in the {\em \gls{overflow}} areas.
\item Note that numbers have a higher resolution on the number line when the \item Note that numbers have a higher resolution on the number line when the
exponent is smaller. exponent is smaller.
\item The largest and smallest possible exponent values are reserved to represent
things requiring special cases. For example, the infinities, values representing
``not a number'' (such as the result of dividing by zero), and for a way to represent
values that are not normalized. For more information on special cases see \cite{ieee:754}.
\end{itemize} \end{itemize}
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