Getting a vector for different x value

Hi there i need some help please, i like to create a x value. this x value is determine by halfing the xnew value

for example,

there is a line between a and b the width is 1. lets say

a=0;

b=1;

h=b-a/2 %This will the new xnew

n=0.01;

while the xnew < n

xnew=h/2 %the first line is juts b-a/2

%The second x new has two more new xnew, and it goes on for the other xnew.

for example once the first line is done, then is (b-a/2)/2 for the first xnew and inside the xnew there is also another which is the second half of the xnew between the previously determine xnew (b-a/2) and the 1 there, and this goes on and on until the while loop is satisfied

Can i have some help here please

Answer 1

[KALYAN ACHARJYA]

Is this?

a=0;
b=1;
h=b-a/2;
n=0.01;
xnew=[];% Number of Iteration is not known 
xnew(1)=h;
i=1;
while xnew(i)>n
xnew(i+1)=h/2;
h=h/2;
i=i+1;
end