$1.$ Write a C$++$ program that does the following:

a$.$ Create a C$++$ file with the name problem$2.$cpp$.$

b$.$ Prompt the user for a positive integer, validating the input until the user enters a positive integer.

c$.$ Print the positive integer in binary backwards as follows:

While the number is greater than zero, print the number $\%2,$ followed by replacing the number by number $/2.$

Sample run of the program:

Enter a positive integer: $2$

Invalid input! Try again: $20$

Your number in binary in reverse order is: $00101$