This sort of binary logic is spoken of as the basis of being more God-like in the bible.
Rather than 1 or 0, however, true and false are used -or "Yes" and "No".
Christ essentially said to make it so that your answer can be yes or no -and that anything else is of the evil one. Some believe he instructed people to always answer yes or no when asked yes or no questions -but not so -which is why he himself did not answer "Yes" when asked "Are you the king of the Jews" -because the question was of the evil one -and asked to condemn him to death. So he did not answer, but made a statement.
Mat 5:37 But let your communication be, Yea, yea; Nay, nay: for whatsoever is more than these cometh of evil.
Mat 27:11 And Jesus stood before the governor: and the governor asked him, saying, Art thou the King of the Jews? And Jesus said unto him, "Thou sayest".
By using yes and no we can indeed prove much that we cannot see -just as you have never seen an electron -but know it exists due to its effects, etc...
..so it is said that the things of God are apparent in what was created. What is right and wrong are more apparent than his actual existence. It took much serious research to not merely see the effects of the electron, but to manipulate them. Likewise, to prove God exists, one must seriously attempt to do so -even though the effects of his existence are everywhere.
Rom 1:18 For the wrath of God is revealed from heaven against all ungodliness and unrighteousness of men, who hold the truth in unrighteousness;
Rom 1:19 Because that which may be known of God is manifest in them; for God hath shewed it unto them.
Rom 1:20 For the invisible things of him from the creation of the world are clearly seen, being understood by the things that are made, even his eternal power and Godhead; so that they are without excuse:
...but one must truly want to prove that God exists (or even does not exist) to begin to do so.
1Th 5:21 Prove all things; hold fast that which is good.
It's all rather scientific, but if you're convinced something does not exist -without proof that it does not exist -you aren't likely to prove it.