Binary entropy function

Question:Binary entropy function

Posted: MrMarc 3158 Product: Maple

February 17 2010

Why does the binary entropy function have the form H := -p*log(p)-(1-p)*log(1-p);
Why does not the maximum occur when H=1 and p=0.5 ?

H := -p*log(p)-(1-p)*log(1-p);
plot(H, p = 0 .. 1);

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