📜  单精度和双精度的区别

📅  最后修改于: 2021-09-27 06:17:15             🧑  作者: Mango

根据 IEEE 标准,浮点数有两种表示方式:

Precision Base Sign Exponent Significand
Single precision 2 1 8 23+1
Double precision 2 1 11 52+1

1. 单精度:
单精度是 IEEE 提出的一种表示浮点数的格式。它在计算机内存中占据 32 位。

2.双精度:
双精度也是 IEEE 给出的一种表示浮点数的格式。它在计算机内存中占据 64 位。

单精度和双精度的区别:

SINGLE PRECISION DOUBLE PRECISION
In single precision, 32 bits are used to represent floating-point number. In double precision, 64 bits are used to represent floating-point number.
It uses 8 bits for exponent. It uses 11 bits for exponent.
In single precision, 23 bits are used for mantissa. In double precision, 52 bits are used for mantissa.
Bias number is 127. Bias number is 1023.
Range of numbers in single precision : 2^(-126) to 2^(+127) Range of numbers in double precision : 2^(-1022) to 2^(+1023)
This is used where precision matters less. This is used where precision matters more.
It is used for wide representation. It is used for minimization of approximation.
It is used in simple programs like games. It is used in complex programs like scientific calculator.
This is called binary32. This is called binary64.

有关详细信息,请参阅浮点表示。