Consider an analog$-$digital converter inputs a voltage anging from $0$ to $10$ Volts and converts the magnitude of that voltage into a $(16$bit binary number.

X$.$ How many discrete steps are there in the output to resolve the input voltage in its broad range $0,10$ V$.(2$ pts$)$

$2.$ How much voltage does each of these steps represent? $(3$ pts$)$

$$.$ Suppose the voltage input is a $sin$ wave function of the form $U(t)=7sin(2ft)+3sin(24ft),$ where $f=1kHz.$ What is the minimum number of conversions thatcan be performed each second? $(3$ pts$)$