1.11: IEEE Double Precision Format
Most computations take place in double precision, where round-off error is reduced, and all of the above calculations in single precision can be repeated for double precision. The format is
\begin{aligned}
\text{where} \quad \quad &\text{s = sign} \\
&\text{e = biased exponent} \\
&\text{p=e-1023 = exponent} \\
&\text{1.f = significand (use binary point)}
\end{aligned}