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_digit[4];
    int val = (num >> 12) & 0xF;
    hex_digit[0] = (val < 10) ? ('0' + val) : ('A' + val - 10);
    val = (num >> 8) & 0xF;
    hex_digit[1] = (val < 10) ? ('0' + val) : ('A' + val - 10);
    val = (num >> 4) & 0xF;
    hex_digit[2] = (val < 10) ? ('0' + val) : ('A' + val - 10);
    val = num & 0xF;
    hex_digit[3] = (val < 10) ? ('0' + val) : ('A' + val - 10);
    for(int i = 0; i < 4; i++){
        if(hex_digit[i] != '0'){
            printf("%c", hex_digit[i]);
        }
    }
}

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