Theorems and postulates on Boolean algebra
1. X.1 = X
2. X.0 = 0
3. X+1 = 1
4. X+0 = X
5. X+X' = 1
6. X.X' = 0
7. (X')' = X
# Demorgans Theorem
1. (X+Y)' = X'.Y'
2. (XY)' = X'+Y'
# Commutative law:
I) A+B = B+A
II) A.B = B.A
# Associative law:
I) (A+B) +C = A+(B+C)
II) (A.B).C = A.(B.C)
# Distributive law:
I) A.(B+C) = AB+AC
II) A+BC = (A+B) (A+C)
Verify Distributive law using Truth table:
