3. Evaluate REALMAX (the largest possible positive number that is not infinity).

a) Express your value as a base 10 floating-point numbers with 3 sig. figs (e.g. 3.45 x 10^25) (Start with the representation of your number in binary, and show me exactly how you get that to decimal.)

b) Use your understanding of binary and how numbers are stored above, to prove that eps in MATLAB, which is defined as the difference between 1 and the next largest storable number, is approximately 2.2204 x 10-16 (just type eps in MATLAB to confirm). (Start with the representation in binary, and show me how you get that to decimal).