I need to select an A$/$D to digitize the signal of a pressure sensor$.$ My pressure sensor has a

maximum voltage output of $4\mathrm{.}5$ volts. If I want to be able to detect changes of $0\mathrm{.}25$ milli$-$volts in my

sensor$,$

a$)$ determine the minimum number of bits I need for my A$/$D converter. $(5)$

Using you$$re A$/$D with your minimum number of bits,

b$)$ determine the value output by your A$/$D converter for maximum voltage of your sensor $(5)$

c$)$ Determine the sensor voltage that results in an A$/$D output of $125.(5)$