a.)Evaluate REALMIN (the smallest possible positive number that is not denormal). 3 pts Express your value as a base 10 floating-point numbers with 3 sig. figs (e.g. 3.45 x 1025), and show your work! (Start with the representation of your number in binary, and show me exactly how you get that to decimal.) Compare your value to the value realmin in MATLAB. If different, explain the difference. (Hint: there should be no difference! If so, go back and see where you went wrong above.)

b) Use your understanding of binary and how numbers are stored above to evaluate machine 3 pts precision in MATLAB, which (recall) is defined as the difference between 1 and the next largest storable number. (just type eps in MATLAB to confirm). Show your work! Start with working in binary, and show me how you get to a base-10 value for e. Compare your value to the value eps in MATLAB. If different, explain the difference. (Hint: there better not be a difference! If there is, go back and see where you went wrong above.)

Evaluate REALMIN (the smallest possible positive number that is not denormal). Express your value as a base 10 floating-point numbers with 3 sig. figs (e.g. 3.45 x 1025), and show your work! (Start with the representation of your number in binary, and show me exactly how you get that to decimal.) Compare your value to the value realmin in MATLAB. If different, explain the difference. (Hint: there should be no difference! If so, go back and see where you went wrong above.) Use your understanding of binary and how numbers are stored above to evaluate machine precision in MATLAB, which (recall) is defined as the difference between 1 and the next largest storable number. (just type eps in MATLAB to confirm). Show your work! Start with working in binary, and show me how you get to a base-10 value for . Compare your value to the value eps in MATLAB. If different, explain the difference. (Hint: there better not be a difference! If there is, go back and see where you went wrong above.)