Question

Жители планеты принтер используюталфавит из 200 знаков а жители планеты плоттер из 100 знаков. Для какой планеты сообщение из 10 знаков несёт больше информации и на сколько?

Answer 1

Comparison of Alphabets

The residents of the planet with the printer use an alphabet consisting of 200 characters, while the residents of the planet with the plotter use an alphabet consisting of 100 characters. We need to determine which planet can convey more information in a message of 10 characters and by how much.

Calculation of Information Conveyed

To calculate the information conveyed, we can use the formula:

Information = log2(Number of Characters)

For the planet with the printer, the information conveyed by a message of 10 characters would be:

Information (Printer) = log2(200) = 7.64385618977

For the planet with the plotter, the information conveyed by a message of 10 characters would be:

Information (Plotter) = log2(100) = 6.64385618977

Comparison of Information Conveyed

Comparing the information conveyed by the two planets, we find that the planet with the printer can convey more information in a message of 10 characters. The difference in information conveyed is:

Difference = Information (Printer) - Information (Plotter) = 7.64385618977 - 6.64385618977 = 1

Therefore, the planet with the printer can convey 1 more unit of information in a message of 10 characters compared to the planet with the plotter.

Please note that the calculations provided are based on the assumption that each character in the alphabet is equally likely to occur in a message.