Question

In a fashion similar to that in Fig. 3.11, write a short program to determine the smallest number, xmin, used on the computer you will be employing along with this book. Note that your computer will be unable to reliably distinguish between zero and a quantity that is smaller than this number.

Answer 1

The figure 3.11 in the text book is the pseudo code that determine that machine epsilon for the binary computer.

Below the mat lab code code which is written in the similar fashion to determine the smallest number X_min

A=1

While (1)

If a<+0,break,end

X min=A;

A=a/2;

End

The execute the above script code,there are following steps:

• First open the matlab Script editor
• Now write the above code into the editor.
• Now save this script as getmin.m
• Now run this file info the MATLAB commend window promot with getmin.m file name.
• Out put:
• The following output gets display after the execution of the above code
• Ans=4.9407e-324