Which of the following logical operators returns true if both operands are true?a.XORb.ANDc.ORd.NOT

1. Break Down the Problem

The question is asking which logical operator among the given options returns true only when both operands are true. We need to evaluate each operator: XOR, AND, OR, and NOT.

2. Relevant Concepts

• XOR (Exclusive OR): Returns true if exactly one operand is true.
• AND: Returns true only if both operands are true.
• OR: Returns true if at least one of the operands is true.
• NOT: Returns the inverse of the operand (true becomes false, and vice versa).

3. Analysis and Detail

• XOR (a): For True XOR True, the result is False. Therefore, this does not return true for both operands being true.
• AND (b): For True AND True, the result is True. This is the logical operator that meets the criteria.
• OR (c): For True OR True, the result is also True, but it can also be true with one true operand, hence it does not fit our specific requirement.
• NOT (d): This operator cannot satisfy the condition as it only operates on a single operand.

4. Verify and Summarize

The only operator that guarantees a true return when both operands are true is AND. While OR can also return true, it is not restricted to both operands being true.

Final Answer

The correct answer is b. AND.