The properties of multiplication of literals are listed below.
Commutativity: For any two literals m and n, we have, mn = nm
i.e., the multiplication of literals is commutative.
Associativity: For any three literals m,n and o, we have ,
(mn)o = m(no)
i.e., the multiplication of literals is associative.
Identity: For any literal m, we have,
m × 1 = m =1 × m
Here ‘1’ is known as the multiplication identity.
Distributivity of Multiplication over addition: For any three literals m,n and o, we have
(i) m( n + o ) = mn + mo [‘Left distributivity’]
(ii) ( n + o )m = nm + om. [‘Right distributivity’]