题目
2.填空题现有32位IEEE754标准的浮点数X=3D350000H,求其对应的二进制[1]真值数。解:3D350000H=(______)BSf=(______),E=(______)B,M=(______)Be=(______)B(二进制真值数)m=(______)B(二进制真值数)X=(______)B(二进制真值数)
2.填空题
现有32位IEEE754标准的浮点数X=3D350000
H,求其对应的二进制[1]真值数。
解:3D350000H=(______)B
Sf=(______),E=(______)B,M=
(______)B
e=(______)B(二进制真值数)
m=(______)B(二进制真值数)
X=(______)B(二进制真值数)
题目解答
答案
将 $ 3D350000_H $ 转换为二进制得:
\[
3D350000_H = 00111101001101010000000000000000_B
\]
分解得:
\[
S_f = 0, \quad E = 01111010_B, \quad M = 01101010000000000000000_B
\]
实际指数 $ e = 122 - 127 = -5 $,尾数 $ m = 1.0110101_B $。
最终结果为:
\[
X = 1.0110101_B \times 2^{-5} = 0.000010110101_B
\]
答案:
\[
3D350000_H = 00111101001101010000000000000000_B
\]
\[
S_f = 0, \quad E = 01111010_B, \quad M = 01101010000000000000000_B
\]
\[
e = -5_B, \quad m = 1.0110101_B
\]
\[
X = 0.000010110101_B
\]