Floating Point
Floating Point(浮点数)
Fractional Binary Numbers
$$ d = \sum_{i=-n}^{m}10^i \times d_i $$
$$ b=\sum_{i=-n}^{m}2^i{\times}b_i $$
Floating-Point Type
$$ V=(-1)^{8}{\times}M{\times}2^{E} $$
Normalized Values
规格化的值
s | $e_7$ | $e_6$ | $e_5$ | $e_4$ | $e_3$ | $e_2$ | $e_1$ | $e_0$ | $f_{31}$ | $…$ | $f_0$ |
---|
$$ \underbrace{e_{7}=1|e_{6}=1|e_{5}=1|e_{4}=1|e_{3}=1|e_{2}=1|e_{1}=1|e_{0}=0}{e{max}=254} $$
$$ \underbrace{e_7=0|e_6=0|e_5=0|e_4=0|e_3=0|e_2=0|e_1=0|e_0=1}{e{min}=1} \\ $$
$$ E=e-bias \\ bias(float)=2^{8-1}-1=127 \\ E_{min}=-126 \ E_{max}=127 $$
Denormalized Values
非规格化的值
Special Values
特殊值
资料由
九曲阑干
视频提供,如有侵权,联系sliver_horn@qq.com
删!