The disjunctive normal form of the table is the sum(OR) of all
the True's in the resultant expression.
And the conjunctive normal form of the table is the product(AND) of
all the False's in the resultant expression.
So, coming to the answers:
a. f(x, y) = (x' ^ y') v (x' ^ y) is the disjunctive normal
form.
= (x' v y) ^ (x' v y') is the conjunctive normal
form.
b. f(x, y, z) = (x' ^ y' ^ z) v (x' ^ y ^ z) v (x ^ y' ^ z) v (x
^ y ^ z') is the disjunctive normal form.
= (x v y v z) ^ (x v y' v z) ^ (x' v y v z) ^ (x' v y'
v z') is the conjunctive normal form.
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