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 hex[32];
    int i = 0;
    if(num == 0){
        printf("0\n");
    }
    while (num > 0) {
        int rem = num % 16;
        hex[i++] = (rem < 10) ? (rem + '0') : (rem + 'A' - 10);
        num /= 16;
    }
    for (int j = i - 1; j >= 0; j--) {
        printf("%c", hex[j]);
    }
    printf("\n");
}

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