Convert Integer to Hex String Without sprintf or itoa functions

Code

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

void print_hex(uint16_t num) {
    // Your logic here
    if(num==0){
        printf("%d",0);
    }
    else{
    char w[100];
    int q[100];
    int index1=0;
    int index2=0;
    while(num>0){
        int y=num%16;
        if(y==15){
            w[index1]='F';
            index1+=1;
        }
        else{
            q[index2]=y;
            index2+=1;
        }
        num/=16;
    }
    w[index1]='\0';
    if(index2==0){
        printf("%s",w);
    }
    else{
        for(int i=index2-1;i>=0;i--){
            printf("%d",q[i]);
        }
    }
    }
}

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

Solving Approach

simple looping and conversion concepts