# Is the binary operation defined on set N, given by a&b = a-b/2 is cummutative or associative?

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- RealProLv 74 weeks ago
(a&b)&c = a - b/2 - c/2

a&(b&c) = a - (b - c/2)

So it is not associative. It is not commutative either.

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