Step 1: Distinguish between different types of NOT operators.
In languages like C++, there are two types of "not" operators:
Logical NOT (`!`): This operator is used to invert the truth value of a boolean expression. `!true` is `false`, and `!false` is `true`.
Bitwise NOT (`~`): This operator is used to invert all the bits of a binary number.
Step 2: Analyze the options in common context.
(A) \text{\textasciitilde}: This is the bitwise NOT operator.
(B) \text{!}: This is the logical NOT operator. It is the most common operator referred to simply as "the NOT operator".
(C) \text{&&}: This is the logical AND operator.
(D) \text{||}: This is the logical OR operator.
In general programming context, when someone refers to the "NOT operator", they are almost always referring to the logical NOT (`!`).