What is true when both inputs A and B are high in an XOR gate?

What is true when both inputs A and B are high in an XOR gate?

• A. The output is high
• B. The output goes low
• C. The output stays unchanged
• D. The output fluctuates

Answer: (B)

In an XOR (exclusive OR) gate, the core function is that it produces a high output (or logic 1) when the inputs are different, specifically when one input is high and the other is low. Conversely, when both inputs A and B are high, they are the same, leading to a different result. When both inputs are high, the XOR gate outputs a low signal (or logic 0). This characteristic is fundamental to the definition of an XOR operation, which is that it outputs true only when the number of true inputs is odd. Since having both inputs high means they are equal and thus even, the output in this case is low. Understanding this logic is essential in various digital systems and applications where XOR gates are used for computations and control logic.

In an XOR (exclusive OR) gate, the core function is that it produces a high output (or logic 1) when the inputs are different, specifically when one input is high and the other is low. Conversely, when both inputs A and B are high, they are the same, leading to a different result.

When both inputs are high, the XOR gate outputs a low signal (or logic 0). This characteristic is fundamental to the definition of an XOR operation, which is that it outputs true only when the number of true inputs is odd. Since having both inputs high means they are equal and thus even, the output in this case is low. Understanding this logic is essential in various digital systems and applications where XOR gates are used for computations and control logic.