Example of a question that could NOT be answered with a binary message

So what is is being implied here is an question that doesn't have a yes or no answer. Philosophical questions would fit the bill here such as; "If a tree falls in the forest, and no one is around to hear it, did it make a sound?" You, a computer or I cannot reasonably respond to that questions with a a yes or a no.

Remember, Binary messages are a series of 1's or 0's. Implying on (1) or off (0).