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Samuel Morse developed a character coding system that was used to send messages along telegraph lines and also for light signalling between ships. Morse code is based on a series of dots and dashes (short of long bursts). The most frequently used letter, E, is coded as a single dot. The least frequently used letter, Q, is coded as dash, dash, dot, dash.

a) How many letters can be coded by a single burst? two bursts? three bursts? four?

b) How many characters can be coded, in total, by up to four bursts?

  • math -

    single burst = 2
    two bursts = 4 , (2x2)
    three bursts = 8 , (2x2x2)
    four bursts = 16

    total = 16+8+4+2 = 30

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