Question

Which of the following statements are not true?

• A. When a Boolean variable is multiplied by its complement, the result is the variable.
• B. A VHDL program consists of an entity and an architecture.
• C. Multiplication in Boolean algebra is equivalent to the NAND function.
• D. The complement of a product of variables is equal to the sum of the complements of each variable.

Hint:

Recall fundamental Boolean operations and their correspondence to logic gates to evaluate such statements.

Answer 1

The Correct Option is A

(A): False. A · A = 0, not A. (B): True. VHDL programs consist of an entity and an architecture. (C): False. Multiplication in Boolean algebra corresponds to the AND operation, not NAND. (D): True. The complement of a product is the sum of complements (DeMorgan’s theorem). Thus, the statements (A), (C), and (D) are not true.