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Think of entropy as the "randomness temperature." High entropy (like white noise or scrambled text) means high information density. Low entropy (like a repeating loop of silence or a predictable string of zeroes) means you can compress it down to almost nothing. Coding Theory: The Art of Reliable Imperfection If information theory is about efficiency , coding theory is about survival .
[ h(x) = -\log_2(p) ]
In Shannon’s world,
Entropy is the average amount of information produced by a source. It is also the minimum number of bits required, on average, to encode the source without losing any information. Introduction To Coding And Information Theory Steven Roman