int binary$\_$to$\_$decimal$($string s$)$;

$//$ precondition: s is a string that consists of only $0$s and $1$s

$//$ postcondition: the positive decimal integer that is represented by s

string decimal$\_$to$\_$binary$($int n$)$;

$//$ precondition: n is a positive integer

$//$ postcondition: n$$s binary representation is returned as a string of $0$s and $1$s

string add$\_$binaries$($string b$1,$ string b$2)$;

$//$ precondition: b$1$ and b$2$ are strings that consists of $0$s and $1$s$,$ i$.$e$.$

$//$ b$1$ and b$2$ are binary representations of two positive integers

$//$ postcondition: the sum of b$1$ and b$2$ is returned. For instance,

$//$ if b$1=11,$ b$2=01,$ then the return value is $100$

void menu$()$;

$//$ display the menu. Student shall not modify this function

int grade$()$;

$//$ returns an integer that represents the student$$s grade of this projects.

$//$ Student shall NOT modify

bool is$\_$binary$($string b$)$;

$//$ returns true if the given string s consists of only $0$s and $1$s; false otherwise

bool test$\_$binary$\_$to$\_$decimal$()$;

$//$ returns true if the student$$s implementation of binary$\_$to$\_$decimal function

$//$ is correct; false otherwise. Student shall not modify this function

bool test$\_$decimal$\_$to$\_$binary$()$;

$//$ returns true if the student$$s implementation of decimal$\_$to$\_$binary function is correct; false otherwise. Student shall not modify this function

bool test$\_$add$\_$binaries$()$;

$//$ which returns true if the student$$s implementation of add$\_$binaries function

$//$ is correct; false otherwise. Student shall not modify this function