Array Pointer Program to Flip Bits and Add One - c

Question

I am trying to write a program that will take an arbitrary number and flip the bits and add one, and I have written the code, but I keep getting a segmentation fault (core dumped) error. Could someone look at my code and see why that error is occurring. I have attached my code below and the input and output I would like to receive.
#include "stdio.h"
#include "malloc.h" //Needed for malloc, realloc, and free
#define GROW_BY 2
#define MAX_BITS 32
int add_one(int in_array[], int num){
for (int i = 0; in_array[i] != NULL; i++) {
int add_one = in_array[num - i] + 1;
}
return add_one;
}
int main() {
//Declaration and Initialization of Variables
int* array = NULL;
int bit = getchar();
int count = 0;
while (bit != '\n') {
bit = bit - '0';
*array = &bit;
array = (int*)malloc((strlen(bit) + 1) * sizeof(int));
if (array == NULL) {
printf("An error has occurred and the program will now $
return 1;
}
bit = getchar();
}
for (int j = count - 1; j >= 1; j--) {
if (array[j] == '1') {
array = (int*)realloc(array, GROW_BY * sizeof(int));
if (array == NULL) {
printf("An error has occurred and the program w$
}
}
else if (array[j] == '0' ) {
array = (int*)realloc(array, GROW_BY * sizeof(int));
if (array == NULL) {
printf("An error has occurred and the program w$
return 1;
}
}
}
add_one(array, bit);
for (int j = count - 1; j >= 1; j--) {
if (array[j] == '1' && add_one == 1) {
array[j] = '0';
}
else if (array[j] == '0' && add_one == 1) {
array[j] = '1';
int add_one = 0;
}
else {
array[j] = array[j];
}
}
printf("%ls/n", array);
free(array);
return 0;
}
Input: 101011110
Output: 010100010