I like how this has potential. Will you add animations to it? Because after a while I kept seeing the same thing over and over again.
A bug I did spot out was that once I placed a number and the computer placed there's. If it was the same thing I can press something else and I would win the battle.
I can see this as a fun time killer for a phone game or what ever you have in mind I wonder what it will be.
Good luck and thanks for making it.