A number from the interval from 1 to 64 is guessed. How much information is needed to guess the interval?

If a non-integer number is conceived, then the options for the conceived number are infinite, therefore, infinitely much information is also required. If an integer is thought of, then we have 64 options. Let’s turn to one of the definitions of a bit of information. A bit of information is a quantity of information that halves the uncertainty. Therefore, we can draw up the inequality: 2 ^ n> = 64 => n> = 6.
Answer: 6 bits of information will be enough to guess any number in the range.