Suppose that the crystal frequency is $2$MHz$,8$ leds are connected to PORTD and a button is connected to RB$2.$ Write a program that turns one led and shifts$/$rotates it every $0\mathrm{.}5$ Second. Whenever you press th button the first led is turned on and continue shifting. Notes:

Use timer $1$ to generate the required delay and use the appropriate interrupt to know that it overflows $($don$\text{'}$t use polling$)$

Don't monitor RB$2($don$\text{'}$t use polling$),$ instead use the appropriate interrupt so that the program get notificed whenever the button is pressed.

Show all the calculations and justify using the values loaded to control registers $($Such as T$1$CON, TMR$1$L$,$ TMR$1$H$)$