浮点数如何存储在内存中 [英] how does floating point numbers get stored in memory

问题描述

由于计算机只能理解其下的0和1，因此如何在内存中将12.1234之类的浮点数表示为一组0和1，

as computer understands only 0's and 1's underneath,how does floating point numbers like 12.1234 gets represented in memory as a set of 0's and 1's ,

是否通过各自的ASCII值1、2，...来存储它. ，1,2,3,4 ..?

does it gets stored by respective ASCII values of 1 ,2, . ,1,2,3,4 respectively..?

推荐答案

据我所知，浮点数(用于单精度)按如下方式存储在内存中:

As far as I know flaoting numbers(for single precision) are stored in memory as follows:

• 符号s(表示它是正数还是负数)-1位
• 尾数m(基本上是您的数字-24位
• 指数e-8位

例如:

3.14159表示如下:

0 10000100 11001001000011111100111
    ^     ^               ^
    |     |               |
    |     |               +--- significand = 0.7853975
    |     |
    |     +------------------- exponent = 4
    |
    +------------------------- sign = 0 (positive)

请注意，.根本没有存储在内存中.

Do note that . is not stored at all in memory.

作为良好参考，请阅读每个计算机科学家应了解的知识浮点算法和浮点

As a good reference read What Every Computer Scientist Should Know About Floating-Point Arithmetic and Floating Point

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