Convert Integer to Hex String Without sprintf or itoa functions

Code

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

void printHex(uint8_t val)
{
    if(val>=0 && val<=9)
    {
        printf("%d",val);
    }
    else
    {
        printf("%c", val+55);
    }
}
void print_hex(uint16_t num) {
    // Your logic here
    int first = 0;
    if(num>>12 & 0xf!=0)
    {
       first = 1; 
        printHex(num>>12 & 0xf);
    }
    if((num>>8 & 0xf)!=0 || (num>>8 & 0xf == 0 && first))
    {
        printHex(num>>8 & 0xf);
        first = 1;
    }
    if(num>>4 & 0xf!=0 || (num>>4 & 0xf == 0 && first))
    {
        printHex(num>>4 & 0xf);
    }
    
    printHex(num>>0 & 0xf);
}

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

Solving Approach