Before sampling, a first order low-pass Butterworth filter (f. = 100 Hz) will be used as an anti-aliasing filter (N = 1). a) Assuming that the input range of a 12-bit ADC is 5 volts determine the actual sampling rate such that aliasing is absolutely minimized, that is, the aliasing error will be less /Q or LSB. Next, briefly discuss why the problem is solved for Q instead of simply Q? b) Repeat the same problem as in part a but assume for a second order Butterworth filter (N = 2) and comment on the differences in sampling rate.