An integrated circuit preferably to be connected to a motor vehicle battery is selectively switchable between sleep and normal operating modes. The IC may include a useful control logic circuit, a wake-up circuit evaluating an input signal and responsively outputting a wake-up signal dependent on the input signal, and an input control and supply circuit connected between the wake-up circuit and the control logic circuit. The wake-up circuit includes at least one recognition circuit having an amplifier arrangement to selectively amplify the input signal, and an evaluation circuit having a switch arrangement controlled by the amplified signal and an amplifier producing the output signal. The wake-up circuit has a very low current consumption while monitoring the input signal, and produces the wake-up signal only if the input signal suitably exceeds or falls below a specified voltage threshold. The wake-up signal may activate the control circuit, which may activate the logic circuit.