Basic Identities of Boolean Algebra
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What happens if X is a double Compliment? (//X)?
The double Compliment will cancel each other out LEAVING THE VARIABLE UNCOMPLIMENTED. (X)
Give 2 examples of the Distributive Identity.
X(Y+Z)=XY+XZ, X+YZ=(X+Y)(X+Z)
Give the identities that will equal 0.
X*0, X*/X ("/X" meaning Compliment of X). It deals with the product (or "and") of X and/or 0.
Give 2 examples of the Associative Identity.
X+(Y+Z)+(X+Y)+Z, X(YZ)=(XY)Z
Give the Identities that will equal X.
X+0, X+X, X*1, X*X
Give the identities that will equal 1.
X+1, X+/X ("/X" meaning Compliment of X).It deals with the Sum (or "or") of X and/or 1.
Give 2 examples of the Commutative Identity.
X+Y=Y+X, XY=YX
Give 2 examples of the DeMorgan's Identity.
/(X+Y)=/X*/Y, /(XY)=/X+/Y