A message written from a 32-character alphabet contains 75 characters. How much information does it carry?

The problem statement says that the message is written using the characters of the 32-character alphabet. This means that the cardinality of this alphabet is 32. We use this value to find the information weight of one character in this message.

N = 32 = 2 ^ 5.

i = log2N = log22 ^ 5 = 5 bits.

The information volume of a message is equal to the product of the number of characters in it and the information weight of one such character.

I = K * i = 75 * 5 bits = 375 bits.

Answer: This message contains 375 bits of information.