This is how you play. At any time, the computer will display a set of numbers. After a while the computer will guess your number. See for yourself. The game's magical powers have a very simple explanation.
Computer displays seven sets of numbers.
Thus digit after digit, your computer collects the information about the binary representation of the number you thought up. For example, assume you selected 54. Its binary representation is 110110. I have to guess 6 binary digits. 54 belongs to the first group.