Question

При угадавании числа в некотором диапазоне было получено 7 бит информации

Answer 1

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Answer 2

Information Entropy and Number of Bits

When dealing with information theory, the concept of information entropy is crucial. In this case, if 7 bits of information were obtained when guessing a number within a certain range, it indicates the amount of uncertainty or surprise associated with the event of guessing the number.

The formula to calculate the number of bits of information is given by I = log2(N), where I represents the number of bits of information and N is the number of equiprobable outcomes.

Using this formula, we can calculate the number of equiprobable outcomes based on the given number of bits of information.

The formula can be rearranged to solve for N: N = 2^I.

Applying this formula with the given 7 bits of information: N = 2^7 = 128.

Therefore, when 7 bits of information are obtained, there are 128 equiprobable outcomes within the given range.

This calculation aligns with the information provided in the search snippets, which also indicate that 7 bits of information correspond to 128 equiprobable outcomes