Q$3.$ Consider an embedded system that uses a sensor that is connected through UART. The sensor is triggered by external events $250$ times per second. If the sensor is connected to a $16-$bit ADC and UART with settings is as follows $($Data: $8$ bits, start bit: $1,$ stop bit: $2,$ parity: $1$ bit$)$:

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A$)$ Determine the minimum UART baud rate that is required to support the given sensor $($Note: UART has standard Baud rates $(4800,9600,19200,$ etc.$).$ Your answer must conform to the standard$).$

B$)$ What is the maximum data rate that the given interface can support?

C$)$ Assume embedded system is programmed to read then process the data $1$ B at a time. Assume the system requires $10,000$ cycles per $1$B to read the data, and $30,000$ cycles to processing each $1$B of data. If the processing unit is running at $50$ MHz$,$ determine the maximum duty cycle $($up time$)$ of the system. Also determine the corresponding sleep time $($per second$).$

D$)$ If the given system is powered by a $1000$ mWh battery, determine the maximum

time the system can run before the battery runs out of energy. Assume the system consumes $0\mathrm{.}15$ mW if active and $0\mathrm{.}1$ uW if asleep.