What is the Boolean expression for the NOT operation?

What is the Boolean expression for the NOT operation?

• A. F = P Complementary
• B. F = P AND Q
• C. F = P OR Q
• D. F = P NOR Q

Answer: (A)

The Boolean expression for the NOT operation is represented as the complement of a variable, which is indeed captured in the choice F = P Complementary. This expression essentially signifies the inversion of the value of P: if P is true, F will be false, and if P is false, F will be true. This aligns perfectly with the fundamental principle of the NOT operation in Boolean logic, which negates the value of the input variable. Other options pertain to different logical operations. The AND operation requires two true inputs for a true output, the OR operation requires only one true input, and the NOR operation is the negation of the OR operation, which again is distinct from simply negating a single variable. Thus, F = P Complementary is explicitly representative of the NOT operation, making it the correct answer.

The Boolean expression for the NOT operation is represented as the complement of a variable, which is indeed captured in the choice F = P Complementary. This expression essentially signifies the inversion of the value of P: if P is true, F will be false, and if P is false, F will be true. This aligns perfectly with the fundamental principle of the NOT operation in Boolean logic, which negates the value of the input variable.

Other options pertain to different logical operations. The AND operation requires two true inputs for a true output, the OR operation requires only one true input, and the NOR operation is the negation of the OR operation, which again is distinct from simply negating a single variable. Thus, F = P Complementary is explicitly representative of the NOT operation, making it the correct answer.