Express the following function in disjunctive normal form 1

Express the following function in disjunctive normal form.

1. f(X,Y,Z) = (X v Y)Z’

2. f(X.Y,Z) = X v Y v Z

Solution

In boolean logic, a disjunctive normal form (DNF) is a standardization (or normalization) of a logical formula which is a disjunction of conjunctive clauses; it can also be described as an OR of ANDs, a sum of products,

2).xyz+xyz¯+xy¯z+xy¯z¯+x¯yz+x¯yz¯+x¯y¯z