Here is my code

/*
gcc -c -Wall -g main.c
gcc -g -lm -o main main.o
*/

#include <stdlib.h>
#include <stdio.h>
#include <string.h>

void stringToHex(const char* string, char* hex) {
 int i = 0;

 for(i = 0; i < strlen(string)/2; i++) {
  printf("s%x", string[2*i]); //for debugging
  sprintf(&hex[i], "%x", string[2*i]);
  printf("h%x\n", hex[i]); //for debugging
 }
}

void writeHex(char* hex, int length, FILE* file, long position) {
 fseek(file, position, SEEK_SET);
 fwrite(hex, sizeof(char), length, file);
}

int main(int argc, char** argv) {
 FILE* pic = fopen("hi.bmp", "w+b");
 const char* string = "f2";
 char hex[strlen(string)/2];

 stringToHex(string, hex);
 writeHex(hex, strlen(string)/2, pic, 0);




 fclose(pic);
 return 0;
}

I want it to save the hexadecimal number 0xf2 to a file (later I will have to write bigger/longer numbers though). The program prints out -

s66h36

And when I use hexedit to view the file I see the number '36' in it.

Why is my code not working? Thanks!