Thread: why do i always get true in the loop?

hello, i really dont know why ?
to let you know what i intend to do , please read this question "
[Finding a palindrome number ]

"A palindrome is a number or a text phrase that reads the same backwards as forwards.
For example, each of the following five-digit integers is a palindrome: 12321, 55555,
45554 and 11611. Write a program that reads in a five-digit integer and determines
whether it is a palindrome. [Hint: Use the division and modulus operators to separate
the number into its individual digits.]"

after going through the usual way of separating of digits ... to show that if two numbers
(the original one and the new generated number) i used the logical And operator (&&) ..
so that if the two numbers are the same it would generate the number 1
which is considered true in C++ ... and if not ,, it will produce 0 that is False.
but when compiling the program . i always get "true" in loop continuation condition
and thus i fail ! i tried to use equality operator (==) to check
whether two numbers are the same , but again no luck ! i get that damn true in loop -continuation condition
!then after some time of contemplating i come up with the second solution ,
that only works with 5 digit numbers ! ( and im not fond of using it , cuz i think this kind of solution is not right , and it just doesnt feel good !

now i just wana know why this happens , and where i made my mistake ! and what is (or are ) my mistake(s) ...
any comment is greatly appreciated .
first snippets of code:

Code:

//In the Name Of God
/*
4.26 A palindrome is a number or a text phrase that reads the same
 backwards as forwards. For example, each of the following five-digit integers
 is a palindrome: 12321, 55555, 45554 and 11611. Write a program that reads
 in a five-digit integer and determines whether it is a palindrome
. [Hint: Use the division and modulus operators to separate the number into its individual digits.]

*/
 #include <iostream>
 using std::cout;
 using std::cin;
 using std::endl;
 using std::boolalpha;// causes bool values to print as "true" or "false"

 #include <iomanip>
 using std::setw;
int main()
{
    int num;
    int temp;
    int shadow;
    int mirror;/* a copy of original number is created to be compared
 with the new generated number to find out where it is a palindrome number !*/


    const int digit =5;

    cout<<"Please Enter a 5 digit number (ex:55555): ";
    cin>>num;
    mirror=num;

/*The while works fine , but when i use && to assure that
 two numbers are the same , it always gives a True condition! why?
*/this made me to write that kind of statement.
    while( num!=0)
    {

        temp=num/10;
        shadow=num&#37;10;//new number to generate 
        num=temp;

    }



  if ( (shadow&&mirror)==true )
    {    
   
        cout<<boolalpha<<endl<<setw(5)<<(shadow&&mirror);
        cout<<"\n\n A Palindrome number found! ";
        cout<<"\n The number You have Entered is a Palindrome number ("<<mirror<<")\n\n";

    }
    else //if ( (shadow&&mirror)== false )
    {
        cout<<boolalpha<<!(shadow&&mirror);
        cout<<"\nThe number You have Entered Is not  Palindrome "<<endl;
          
    }
   
    return 0;
}

program number 2: using a very terrible way to solve the assignment !:

Code:

//In the Name Of God
/*
4.26 A palindrome is a number or a text phrase that reads the same backwards as forwards
. For example, each of the following five-digit integers is a palindrome: 12321, 55555,
 45554 and 11611. Write a program that reads in a five-digit integer and determines
 whether it is a palindrome. [Hint: Use the division and modulus operators to separate
 the number into its individual digits.]

*/
 #include <iostream>
 using std::cout;
 using std::cin;
 using std::endl;
 using std::boolalpha;// causes bool values to print as "true" or "false"

 #include <iomanip>
 using std::setw;
int main()
{
    int num;
    int temp;
    int shadow,last2;
    int mirror,first2;


    const int digit =5;

    cout<<"Please Enter a 5 digit number (ex:55555): ";
    cin>>num;
    mirror=num;
//  the while here is useless! see the comment underneath !
    while( num!=0)
    {

        temp=num/10;
        shadow=num%10;
        num=temp;

    }
// here is the solution i found to this.! 
first2=mirror%100;
last2=mirror/1000;

    if ( (first2==last2) )
    {
        
        cout<<"\n\n A Palindrome number found! ";
        cout<<"\n The number You have Entered is a Palindrome number ("<<mirror<<")\n\n";

    }
    else //if ( (shadow&&mirror)== false )
    {
        
        cout<<"\nThe number You have Entered Is not A Palindrome "
            <<"\n\nfirst2 && last2 = "<<(last2&&first2)<<"  but Why?!\n\n";
    }
    cout<<"\n\n\n\n\nfirst2 digits (%100) "<<first2
    <<"\n\nFrom  "<<mirror<<endl<<endl
    <<"last2 digits (/1000) "<<last2
    <<"\n\nfirst2 && last2 = "<<(last2&&first2)<<" !\n\n";
    return 0;
}

thanks a million in advance !
(by the way i use code::blocks 8.2 compiler )