Question

State the distributive law and verify the law using truth table.Distributive law state that

(a)  X(Y +Z) = XY + XZ

(b)  X + YZ = (X + Y)(X + Z)

Answer 1

(a)  X(Y +Z) = XY + XZ

To prove this law, we will make a following truth table :

From truth table it is prove that X(Y +Z) = XY + XZ

(b) X + YZ = (X + Y)(X + Z)

From truth table it is prove that X + YZ = (X + Y)(X + Z)