Identity Law for AND
1x = x
Identity Law for OR
0 + x = x
Null Law for AND
0x = 0
Null Law for OR
1 + x = 1
Idempotent Law for AND
xx = x
Idempotent Law for OR
x + x = x
Inverse Law for AND
xx’ = 0
Inverse Law for OR
x + x’ = 1
Commutative Law for AND
xy = yx
Commutative Law for OR
x + y = y + x
Associative Law for AND
(xy)z = (x + y)(x + z)
Associative Law for OR
(x + y) + z = x + (y + z)
Distributive Law for AND
x + (yz) = (x + y)(x + z)
Distributive Law for OR
x(y + z) = xy + xz
Absorption Law for AND
x(x + y) = x
Absorption Law for OR
x + xy = x
DeMorgan’s Law for AND
(xy)’ = x’ + y’
DeMorgan’s Law for OR
(x + y)’ = x’y’
Double Complement Law for AND
x’’ = x
Double Complement Law for OR
x’’ = x