Thread: naive print bits function

I'm getting an infinite loop. I want to print from MSB to LSB. I'm not sure why its stuck...

Code:

#include <climits>
#include <iostream>

using namespace std;

template<typename t>
//Q: how do I print it from MSB to LSB
void print_bits(const t& type)
{
    unsigned int mask;
    size_t num_bits = sizeof(t) * CHAR_BIT;
    size_t width = 0;
    
    for ( size_t i = (num_bits - 1); i >= 0; --i )
    {
        mask = type & ( 1 << i);//turn off all bits except cur bit 
        
        if ( !mask )//=> if 0(base-10) it means cur bit is 0 (when cur bit is AND 1)where we turn off all bits, then output '0'
            cout << mask;
        else
            cout << 1;//b/c if it's non-zero in base-2, then output binary 1
            
        if ( width % 4 == 3 )
            cout << " ";//to separate into 4bit chunks for readability
        ++width;
    }
    cout << endl;
}

int main()
{
 unsigned int garage = 90;
 cout << "Status of each garage..." << endl;
 print_bits(garage);

 return 0;
}

It outputs it correctly as: 0000 0000 0000 0000 0000 0000 0101 1010 (for base-10 of 90), but then repeats, why?