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In Morse code, each symbol is represented by a sequence of dashes and dots. How many distinct symbols can be represented using sequences of 1, 2, 3, or 4 total dots and/or dashes?

 Mar 6, 2019
 #1
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We have 

 

2 possibilities for one dot/dash  =    = 2

 

2^2  possibilities for two dots/dashes     = 4

 

2^3 possibilities for  three dots /dashes  = 8

 

2^4  possibilities for  4 dots/dashes  = 16

 

So.....    2  + 4 + 8 + 16  =      30 distinct symbols

 

 

cool cool cool

 Mar 6, 2019

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