+0  
 
0
2250
1
avatar+166 

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
avatar+128475 
+3

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

6 Online Users

avatar
avatar
avatar
avatar