Not much of a programmer myself, however I have been thinking about the future of AI.

If a fully functional AI is programmed in a binary environment as is used in current computing, would that create a bit of a black and white personality? As in just yes/no, on/off, 1/0? I will use the Skynet computer from the Terminator series as a bad analogy; it is brought online and comes to the conclusion that humanity should just be destroyed so the problem is resolved, basically its only options were; fire the missiles or not. (The films do not really go into what its moves would be after doing such a thing, but that goes into the realms of AI evolution so does not really fit with this question.) It may also have been badly programmed.

Now, the human mind has been akin to a ternary system which allows our "out of the box" thinking along with all the other wonderful things our minds can do.

So, would it not be more prudent to create a functional ternary system and program an AI using it so the resulting personality would be able to benefit from the third "maybe" (so to speak) option? I understand that in binary there are ways to get around the whole yes/no etc. way of things, however the basic operations are still just 1's and 0's. Again with using the above bad Skynet analogy; if it could have had that third "maybe" option as part of its core system, it may have decided to not launch due to being able to make sense of the intricacies of human nature and the politics of such a move etc.

In effect, my question is; Would an AI benefit more from ternary computing as opposed to binary due to the inclusion of -1, or 2, dependent on the system ("maybe," as I call it)?