Convert Binary String to Integer Without strtol function or Libraries

Code

#include <stdio.h>
#include <stdint.h>

uint16_t binary_to_uint(const char *str) {
    uint16_t bin = 0; 
    uint16_t output = 0; 
   while (*str != '\0'){ 
        bin = *str - '0'; 
        output <<= 1; 
        output |= bin; 
        str++; 
    }
    // Your logic here
    return output;
}

int main() {
    char bin[20];
    scanf("%s", bin);

    printf("%u", binary_to_uint(bin));
    return 0;
}

Solving Approach