MathFundamentalsLogic

Properties and laws of Boolean logic

Theory

Laws and their statements 2.0

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Connect laws with their statements.

Match the items from left and right columns
commutative law
distributive law
associative law
absorptive law
de Morgan's laws
¬(X⋅Y)=¬X+(¬Y)¬(X+Y)=(¬X)⋅(¬Y)\neg(X\cdot Y)=\neg X+(\neg Y) \\ \neg(X+Y)=(\neg X) \cdot(\neg Y)
X+Y⋅Z=(X+Y)⋅(X+Z)X⋅(Y+Z)=X⋅Y+X⋅ZX + Y\cdot Z = (X+Y)\cdot(X+Z) \\ X\cdot(Y+Z) =X\cdot Y + X\cdot Z
X⋅Y=Y⋅XX+Y=Y+XX\cdot Y = Y \cdot X\\ X + Y = Y + X
X⋅(X+Y)=XX+X⋅Y=XX\cdot(X+Y) = X \\ X+X\cdot Y = X
X+(Y+Z)=(X+Y)+ZX⋅(Y⋅Z)=(X⋅Y)⋅ZX+(Y+Z) = (X+Y)+Z\\ X\cdot(Y\cdot Z) = (X\cdot Y) \cdot Z
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