Final answer:
The statement about De Morgan's theorems allowing the back and forth conversion from minterm to maxterm forms is false. De Morgan's theorems are used for transforming the NAND and NOR forms, and for dealing with negations in Boolean expressions, not for direct conversion between minterms and maxterms.
Step-by-step explanation:
The question "De Morgan's theorems allow the back and forth conversion from minterm to maxterm forms of Boolean expressions" is false. De Morgan's theorems provide rules for converting between the NAND (not-and) and NOR (not-or) forms of Boolean expressions, or for transforming expressions involving the negation of a disjunction or conjunction. However, the conversion of minterms to maxterms (or vice versa) in a Boolean expression involves the dual principle, where one can use De Morgan's along with double negation to switch between the two forms.
In more detail:
- De Morgan's first theorem states that the negation of a conjunction is equivalent to the disjunction of the negations.
- De Morgan's second theorem states that the negation of a disjunction is equivalent to the conjunction of the negations.
These theorems are used widely in digital logic design and simplification of Boolean expressions but are not directly related to converting minterms to maxterms.