A thermocouple $(0-200$C$)$ is used to measure temperature in a slow$-$moving gas with a sensitivity of $0\mathrm{.}05$ V$/$C$.$ If you are asked to choose an A$/$D converter which has a range of $0-10$V$,$ determine $($a$)$ the minimum bit of the A$/$D converter, thus the minimum detectable temperature change of $0\mathrm{.}1$C$,$ and $($b$)$ the binary code, the corresponding digital voltage, and temperature readout if the gas temperature is $150$C