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 distributive’]
(ii) (n + o)m = nm + om. [‘Right distributive’]
Properties of Multiplication of Literals
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