$1)$ Write a C$++$ program that reads a number and prints all of its binary digits: Print the remainder number $\%2,$ then replace the number with number $/2.$ Keep going until the number is $0.$ For example, if the user provides the input $13,$ the output should be:

$1$

$0$

$1$

$1$

$2)$ After analyzing the problem and specifications described in the background above, create the pseudocode that describes the algorithm and logic for the proposed solution to the problem scenario.