You're not gonna give these names to your children, right? RIGHT? By the way 0 means off and 1 means on.
It's possible to get yyyy, but it has a 1 in 15876 (0.0062988%) chance of happening. There are more easter eggs, like "nuke" and "taco", so good luck finding those. Also, the odds of getting the same word/name twice in a row is 1 in 252047376 or 3.96750808e-9% (yes, we have to use mathematical terms, that's how low the odds are).