When the text is generated with expressions or some animator, there is a randomness involved. This random uses a so called "seed" which controls the random-pattern. The seed changes evertime you alter something in order to prevent indentical duplicates.
If you want a identical dulpicate of the comp, you need to understand how the zeros and ones are generated. If you would show us, we might can help. If it's a random expression, it's nothing more than setting the same seed ( = some number) in the code.
will give you a differnet random pattern each time called.
will give you always the same random pattern, namely the random pattern of seed no. 1.