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In your instance $x*y$ is being defined to average the binary operation: $x+y+xy$. (Presumably so you deserve to solve some problem about such a binary operation.)
In another problem you could be told $x*y$ way something else. Or in basic we deserve to say "Let $*$ it is in a binary operation" and also we won"t know anything around what $x*y$ is; just that the is some binary operation.
In binary logic $+$ refers to OR and also $cdot$ describes AND.
You could also use alternating notation $xlor ylor(xland y)$ yet it is indistinguishable to basic $xlor y$ or $x+y$ in the origninal notation.
Assuming it is really a logical operation, I carry out not see the objective of defining $*$ if the is the exact same thing together $+$ or perhaps this is th epurpose the the practice to present they room the very same rules.
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Anyway, I occasionally saw $*$ being offered for NAND i.e. $lnot(xland y)$ or $(xy)"$ in both notations.
But this is not the case here, are you specific about the an interpretation of $x*y$ ?
answered jan 7 "18 at 1:57
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