- #1
madking153
- 37
- 0
hi, how to determine the machine precision in MATLAB and estimate from this how many bits are used in the mantissa ??
madking153 said:hi, how to determine the machine precision in MATLAB and estimate from this how many bits are used in the mantissa ??
ZapperZ said:1. x = 1.0
2. x = (x/2) + 1.0
3. If x > 1.0, go do (2) again
Machine precision in Matlab refers to the smallest number that can be represented in the computer's memory. This is typically determined by the number of bits used to store numbers, and it can vary depending on the system and the data type used.
Determining the machine precision in Matlab is important because it allows you to understand the limitations of the computer's memory and how it may affect your calculations. It also helps you avoid errors or inaccuracies in your code that may arise from using numbers that are too small to be accurately represented.
You can determine machine precision in Matlab by using the built-in function eps
. This function returns the distance between 1 and the next largest number that can be represented in the computer's memory. Alternatively, you can use the realmin
function to get the smallest positive normalized floating-point number.
Yes, machine precision can vary in different programming languages and systems. This is because different languages and systems may use different data types and represent numbers in different ways, leading to variations in the smallest representable number.
To handle machine precision in your Matlab code, you can use functions such as eps
or realmin
to determine the smallest representable number and take it into account when writing your calculations. You can also use the format
function to change the display format of numbers to avoid displaying numbers that are too small to be accurately represented.