Convert Integer to Hex String Without sprintf or itoa functions

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

void print_hex(uint16_t num) {
    // Your logic here
    char str[16];
    int index = 0;

    if(num == 0)
    {
        printf("0");
        return;
    }
    while(num>0)
    {
        if((num&0xf) >= 0 && (num&0xf)<=9)
        {
            str[index++] = (num&0xf) + '0';
        }
        else
        {
             str[index++] = (num&0xf) - 10 + 'A';

        }
        num >>= 4;
    }

    for(int i = index-1;i>=0;i--)
    {
        printf("%c",str[i]);
    }
}

int main() {
    uint16_t num;
    scanf("%hu", &num);
    print_hex(num);
    return 0;
}