This is a numerical analysis math question that requires MATLAB.

(a) Given the bit structure of IEEE double precision arithmetic, discuss the output of the following MATLAB code (explain the value of ep obtained after running the program)

ep = 1;

it = 0;

maxit = 100;

while it < maxit

ep = ep/2

b = 1 + ep;

if b == 1

break;

end

it = it + 1;

end

it

ep = 2*ep

(b) Given the bit structure of the IEEE single precision arithmetic, what is the largest normalized number in IEEE single precision format? Show your work. Verify this result with MATLAB's largest normalized floating-point number in single precision arithmetic.