Perform in MATLAB:

(a) Construct an algorithm to determine machine precision and another algorithm to determine the smallest positive number of a floating point number system.

(b) Use the algorithms from part (a) to determine machine precision and the smallest positive number on your computing system. Note: Type eps in the command window and hit enter to get MATLAB to output the value of machine precision.

(C) Assuming that your computing system uses (B = 2 and rounding, use the results from part (b) to determine the values for k and m.