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;
    }
    char hex_digits[] = "0123456789ABCDEF";
    char buffer[5]; 
    int index = 0;

    while (num > 0) {
        int remainder = num % 16;
        buffer[index] = hex_digits[remainder];
        num = num / 16;
        index++;
    }
    for (int i = index - 1; i >= 0; i--) {
        printf("%c", buffer[i]);
    }
}

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