Can Aliens Decode Our Messages? M13 Mystery Unveiled!

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http://www.seds.org/messier/Pics/Jpg/m13message.jpg
This was the picturesque message beamed to the M13 cluster by the Arecibo Observatory in 1974. Even having a knowledge about earthly things, I fail to recognise most of the information depicted. How do they believe that alien intelligent beings some 22,000 lightyears away could decode such information and communicate with us? :confused:
 
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