I need to make a Python program that adds numbers together in binary. The user will be prompted to enter integers to be added and the program will output the addition result in binary. I wish to make a toBinary() function that converts an integer to binary. (not allowed to use the python bin() function). I must also make a binaryAdd() function that takes two binary strings and adds them together. I am not allowed to use '+' or sum meaning that I must also convert the integers to binary before adding the binary strings together.

Sample Output:

Enter integers to be added: 1 4

The sum is 101