diff --git a/book/float/chapter.tex b/book/float/chapter.tex index a4c0273..34b5e52 100644 --- a/book/float/chapter.tex +++ b/book/float/chapter.tex @@ -35,13 +35,13 @@ $1.significand \times 2^{exponent}$ where the {\em significand} is the portion of the {\em mantissa} that is to the right of the binary-point. \begin{itemize} -\item The unnormalized binary value of $-2.625$ is $10.101$ -\item The normalized value of $-2.625$ is $1.0101 \times 2^1$ +\item The unnormalized binary value of $-2.625$ is $-10.101$ +\item The normalized value of $-2.625$ is $-1.0101 \times 2^1$ \end{itemize} -\item We need not store the `1.' because {\em all} normalized floating +\item We need not store the `1.' part because {\em all} normalized floating point numbers will start that way. Thus we can save memory when storing -normalized values by adding 1 to the significand. +normalized values by inserting a `1.' to the left of significand. { \small