In Morse code, symbols are represented by variable-length sequences of

Sonia Gay

Sonia Gay

Answered question

2022-07-01

In Morse code, symbols are represented by variable-length sequences of dots and dashes.
How many different symbols can be represented by sequences of six or fewer dots and dashes?

Answer & Explanation

stigliy0

stigliy0

Beginner2022-07-02Added 21 answers

With a sequences of length 1 we can represent 2 symbols.
With a sequence of length 2 we can represent 2 × 2 = 4 symbols
With a sequence of length 3 we can represent 2 × 2 × 2 = 8 symbols.
With a sequence of length 6 we can represent 2 × 2 × 2 × 2 × 2 × 2 = 64 symbols.
Thus, the total number of symbols we can represent with a sequence of 6 or fewer dots and dashes is 2 + 2 2 + 2 3 + + 2 6 = 2 7 2 = 126

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