In a fashion similar to Step 1: e =1 Step 2: If 1+e is less than or equal to 1,

Question

In a fashion similar to
Step 1: e =1
Step 2: If 1+e is less than or equal to 1, then go to Step 5. Otherwise go to Step 3.
Step 3: e =e /2
Step 4: Return to Step 2
Step 5:e =e *2

create an m-file to determine the smallest positive real number in MATLAB. Base your algorithm on the notion that your computer will be unable to reliably distinguish between zero and a quantity that is smaller than this number. DO NOT use the built in function 'realmin'.

I have tried making this script on my own but when I run it never stops running probably because it takes so many divisions to reach that smallest number.

Explanation / Answer

the script file is ------------------------------------------------ e=1; while(1+e >1) e=e/2; end e=e*2; disp(e); -------------------------------------------------- output: 2.2204e-016

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