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Boolean Algebra Theorems
Theorems of Boolean algebra
5
Electrical Engineering
Undergraduate 3
09/09/2013

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Term
Uniting Theorem
Definition
XY + XY' = X
(X + Y)(X + Y') = X
Term
Absorption theorem
Definition
X + XY = X
X(X + Y) = Y
Term
Elimination theorem
Definition
X + X'Y = X + Y
X(X' + Y) = XY
Term
Theorems for multiplying out and factoring
Definition
(X + Y)(X' + Z)= XZ + X'Y
XY + X'Z = (X + Z)(X' + Y)
Term
Consensus Theorem
Definition
XY + YZ + X'Z = XY + X'Z
(X + Y)(Y + Z)(X' + Z) = (X + Y)(X' + Z)
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