Laws

Name	Law
Properties of 0	a + 0 = a a . 0 = 0
Properties of 1	a + 1 = 1 a . 1 = a
Null Law / Dominant Law	a + 1 = 1 a . 0 = 0
Identity	a + 0 = a a . 1 = a
Idempotent	a + a = a a . a = a
Involution	(a')' = a
Commutative	a + b = b + a a . b = b . a
Associative	a + (b + c) = (a + b) + c a . (b . c) = (a . b) . c
Distributive	a + (b . c) = (a + b) . (a + c) a . (b + c) = (a . b) + (a . c)
De Morgan	(a + b)' = a' . b' (a . b)' = a' + b'
Absorption	a + (a . b) = a a . (a + b) = a

NOTE

Whitespaces are provided before and after '+' and '.' to improve readability on larger displays. In exam don't put the spaces.

Complement of a variable (let's say 'a') can be represented as :

$\mathrm{\neg }a$ , $a^{\prime }$ , $a^c$