An informational message of 1.5 KB contains 3072 characters. How many characters are in the alphabet
February 28, 2021 | education
| An informational message of 1.5 KB contains 3072 characters. How many characters are in the alphabet with which this message was written?
There are 1024 bytes in 1 KB, therefore, 1.5 KB = 1536 bytes.
There are 8 bits in 1 byte, therefore 1536 bytes = 12288 bits.
Let’s determine how many bits of memory 1 character of the text takes. There are 3072 of them, so one character takes 4 bits.
If one character encodes 4 bits of a binary (binary) code, then it is possible to encode 2 ^ 4 = 16 states in total. Therefore, there are 16 characters in the alphabet of the message.
Answer: the alphabet used to write the message contains 16 characters.
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