Problem $6$

You are assigned to select an analog to digital converter $($ADC$)$ that will be used to measure a $20$ MHz signal with a minimum resolution of $\backslash (\backslash$Delta $\backslash$mathrm$\{$V$\}=1\mathrm{.}0\backslash$mathrm$\{$mV$\}\backslash )$ over the range $0$ to $10$ V $.$

$($a$)(10$ points$)$

What is the minimum sampling frequency of the ADC that can be used? $($Hint: Nyquist$)$

$($b$)(10$ points$)$

To achieve the desired resolution, what minimum number of bits, n $,$ is required for the ADC? $($Note: $\backslash ($ n $\backslash )$ must be a positive integer$)$