Postulates and Theorems of Boolean Algebra

Postulate 2
Postulate 5
Theorem 1
Theorem 2
Theorem 3, involution
Postulate 3, commutative
Theorem 4, associative
Postulate 4, distributive
Theorem 5, DeMorgan
Theorem 6, absorption
x + 0 = x
x + x’ = 1
x + x = x
x + 1 = 1
(x’)’ = x
x + y = y + x
x + (y + z) = (x + y) + z
x (y + z) = xy + xz
(x + y)’ = x’y’
x + xy = x
x . 1 = x
x . x’ = 0
x . x = x
x . 0 = 0
xy =yx
x(yz) = (xy)z
x + yz = (x + y)(x + z)
(xy)’ = x’ + y’
x(x + y) = x


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