Write a program that does the following: Open a file "numbers.txt" read integer numbers as strings from the file (one number per line) convert each string to a numeric representation (without using stoi() or similar functions from the string library) store converted numbers in an array close "numbers.txt" open a file "binary.txt" convert each number in array to binary string representation (without using itoa(), sprintf(), or similar functions) write binary string for number to file close "binary.txt