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
    if(num==0)
    {
        printf("0");
        return;
    }
    const char arr[16]={'0','1','2','3','4','5','6','7','8','9','A','B','C','D','E','F'};
    char final_arr[16]={0};
    int index=0;
    while(num!=0)
    {
        final_arr[index]=arr[num%16];
    //    printf("%X",num%16);
        num /= 16;
        index++;
    }
    for(int i=index-1; i>=0; i--)
    {
        printf("%c",final_arr[i]);
    }
}

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