When the address Local:1:I.Data.0 contains a value of 0, which statement is correct?

The correct answer is that the input is inactive when the address Local:1:I.Data.0 contains a value of 0. In programmable controller systems, a value of 0 typically indicates that the corresponding input signal is not being triggered or activated. This means that whatever device or sensor is connected to that input is not currently sending an 'on' or 'active' signal, leading to the conclusion that the input is inactive.

In many control systems, binary inputs are used where a value of 1 signifies that the input is active, while a value of 0 indicates inactivity. Understanding this principle is essential for interpreting the status of inputs correctly, especially in troubleshooting and system monitoring scenarios.

The other answer choices relate to conditions that are generally associated with specific input statuses or operational states, which would be represented by values other than 0. For instance, a motor running or a system being in standby mode would suggest that inputs relevant to those states are active, leading to values reflective of that activity. Therefore, when evaluating the state of inputs and interpreting their significance, recognizing how binary signaling works is crucial to accurate assessment and operation within programmable controller systems.