An alien message was found written in the letters of a 64-character alphabet and consisting

An alien message was found written in the letters of a 64-character alphabet and consisting of 133 characters. How much information does it carry?

The statement of the problem says that the alphabet of the message contains 64 characters, that is, N (the cardinality of the alphabet) = 64.

Knowing N, we can find the weight of one symbol of information – i.

i = log2N = log264 = 6 (bit) – falls on the encoding of one character of the text.

I = K * i = 133 characters * 6 bits = 798 (bit) – informational weight of the specified message.

Answer: A) 798 bits.