We want to use Timer$2$ to log the time an INT$0$ event occurs. When the INT$0$

interrupt occurs we will write the value in TMR$2$ to a circular buffer. In the following assume a

PIC$24$FJ$64$GA$002$ microcontroller operating with a $16$ MHz instruction cycle clock, Fcy $.$

$($a$)$ Show the code needed to initialize amd enable Timer$2$ with a $1$ ms period. Use the smallest

possible time increment. Timer$2$ should be assigned its natural priority.

$($b$)$ Show the definition and initialization of the $64$ element circular buffer, buffer, as well has the

front and back pointers.

$($c$)$ Code an INT$0$ interrupt service routine $($ISR$)$ which will grab the value in TMR$2$ as quickly

as possible, place it in the circular buffer, and update the pointers.

$($d$)$ Briefly describe how this scheme differs from using the input capture peripheral to log the time

of an event on a pin.