Can God do things that are logically impossible?

I think about this sometimes. Are doubts about him being able to perform logically impossible acts just because we can't comprehend it? But if he can't, is he bound by logic? I keep seeing it as the fact that there are colors that our eyes can't see. If someone describes one of these colors we can't see, sure it exists but our minds genuinely are incapable of comprehending/visualizing it.