Morse code is used to send messages. Each symbol is represented by a series of dots and dashes. Would a maximum of four dots and/or dashes be sufficient?

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Morse code is used to send messages. Each symbol is represented by a series of dots and dashes. Would a maximum of four dots and/or dashes be sufficient?

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Answer 1 · 2018-01-05T17:43:35

$Yes$ $"Yes"$

Explanation:

$We have 2 possibilities : dots and dashes.$ $"We have 2 possibilities : dots and dashes."$
$This means that a series of n dots/dashes yields 2^{n}$ $"This means that a series of n dots/dashes yields "2^n"$ $combinations.$ $"combinations."$
$So if we let n go from 1 to 4 we have : 2^{1} + 2^{2} + 2^{3} + 2^{4}$ $"So if we let n go from 1 to 4 we have : "2^1 + 2^2 + 2^3 + 2^4$
$= 30 possible symbols.$ $=30 " possible symbols."$
$The alphabet is 26 letters, so we have 4 symbols left for$ $"The alphabet is 26 letters, so we have 4 symbols left for"$
$punctuation.$ $"punctuation."$
$I don't know what is done with digits 0,1,2, ...,9 though.$ $"I don't know what is done with digits 0,1,2, ...,9 though."$

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Morse code is used to send messages. Each symbol is represented by a series of dots and dashes. Would a maximum of four dots and/or dashes be sufficient?

1 Answer

Explanation:

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