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布林代數 (基本定理 (X.0 = 0, X.1 = X, X.X = X, X.X’= 0, X + 0 = X, X + 1 = 1, X +…
布林代數
基本定理
X.0 = 0
X.1 = X
X.X = X
X.X’= 0
X + 0 = X
X + 1 = 1
X + X = X
X + X’= 1
分配律
X.(Y+Z)=XY+XZ
X+(Y.Z)=(X+Y).(X+Z)
(W+X).(Y+Z)=WY+WZ+XY+XZ
交換律
X+Y = Y+X
X.Y = Y.X
結合律
(X+Y)+Z=X+(Y+Z)
(X.Y).Z=X.(Y.Z)
吸收律
X+XY=X
X+X’Y=X+Y
電子二忠
10號
蕭翊紘