DFA question Please provide explanation for answer choices a

DFA question. Please provide explanation for answer choices

(a) A DFA has exactly one start state True False (b) A DFA can have zero final states True False (c) The alphabet of a DFA must have cardinality at least 1. True False (d) \"Total function\" means that the sum of the functio s values is equal to the number of inputs True False (e) A DFA can have zero states. True False

Solution

a)

Hence, The given statement “A DFA has exactly one start state ” is True.

b)

Hence, the given statement “A DFA can have zero final states” is False.

c)

Hence, the given statement “The alphabet of a DFA must have cardinality at least 1” is True.

d)

Hence, the given statement” \"Total function\" means that the sum of the function’s values is equal to the number of inputs” is True.

e)

Hence, the given statement “A DFA can have zero states” is False.