A zero-power digital chemical analyzer can include a chemically-selective percolation switch. The chemically selected percolation switch can include a positive electrode and a negative electrode separated from the positive electrode by a gap. A binding agent can be located at binding sites in the gap. The binding agent can be selective for binding to a target chemical compound. The binding sites can be distributed in the gap so that target chemical molecules binding to the binding sites can form an electrically conductive pathway via a natural percolation phenomenon between the electrodes when the ambient concentration of the target chemical compound reaches a threshold concentration.