Battery system, comprising: - one or at least two battery cells (Z0, Z1, Z2) connected in series and at least one voltage balancing circuit for balancing the voltage at the one or at one of the at least two battery cells connected in series; - wherein the at least one voltage balancing circuit comprises a balancing current path and a measuring arrangement; - wherein the balancing current path is electrically connected between a positive power connection terminal and a negative power connection terminal of the one or of one of the at least two battery cells and comprises two resistors (R1, R2) and a controllable balancing switch, wherein the two resistors (R1, R2) and the balancing switch are connected in series with one another; and - the measuring arrangement is electrically connected on the signal-input side to an electrical connecting point between the two resistors (R1, R2) and is configured to detect a first voltage potential (Φ1) at the electrical connecting point, characterized in that the measuring arrangement also has: - an analog-to-digital converter, which is electrically connected to the electrical connecting point by means of a first signal input and is configured to form a first digital voltage potential value from the first voltage potential (Φ1); - a filter, which is electrically connected between the electrical connecting point and the analog-to-digital converter and is configured to suppress AC potential components in the first voltage potential (Φ1); and - a controllable bypass switch, which is electrically connected between the electrical connecting point and the analog-to-digital converter and in parallel with the filter and is configured to bypass the filter in a closed switching state. - one or at least two battery cells (Z0, Z1, Z2) connected in series and at least one voltage balancing circuit for balancing the voltage at the one or at one of the at least two battery cells connected in series; - wherein the at least one voltage balancing circuit comprises a balancing current path and a measuring arrangement; - wherein the balancing current path is electrically connected between a positive power connection terminal and a negative power connection terminal of the one or of one of the at least two battery cells and comprises two resistors (R1, R2) and a controllable balancing switch, wherein the two resistors (R1, R2) and the balancing switch are connected in series with one another; and - the measuring arrangement is electrically connected on the signal-input side to an electrical connecting point between the two resistors (R1, R2) and is configured to detect a first voltage potential (Φ1) at the electrical connecting point, - an analog-to-digital converter, which is electrically connected to the electrical connecting point by means of a first signal input and is configured to form a first digital voltage potential value from the first voltage potential (Φ1); - a filter, which is electrically connected between the electrical connecting point and the analog-to-digital converter and is configured to suppress AC potential components in the first voltage potential (Φ1); and - a controllable bypass switch, which is electrically connected between the electrical connecting point and the analog-to-digital converter and in parallel with the filter and is configured to bypass the filter in a closed switching state.