A 6 KB informational message consists of 6144 characters. How many characters are in the alphabet

A 6 KB informational message consists of 6144 characters. How many characters are in the alphabet with which this message was written?

First, let’s find the informational weight of one character. To do this, we divide the total amount of text by the number of all characters in it.

i = 6 kB / 6144 = 6 * 1024 * 8 bits / 6144 = 49152 bits / 6144 = 8 bits.

Let us find the cardinality of the alphabet by the formula N = 2 ^ i.

N = 2 ^ 8 = 256 bits. This means that the alphabet of this text consists of 256 characters.

Answer: there are 256 characters in the text.