A method for determining an electrical characteristic (such as a resistance) of an antifuse of a programmable device. The method comprises the steps of: 1) before the antifuse is programmed, determining an electrical characteristic (such as a voltage, current and/or resistance) of a first conductive path which includes a series element disposed electrically in series with a parallel element, the parallel element being controlled to be substantially conductive, the parallel element being disposed electrically in parallel with the unprogrammed antifuse; 2) after programming of the antifuse, determining an electrical characteristic (such as a voltage, current and/or resistance) of a second conductive path including the series element disposed electrically in series with the programmed antifuse when the parallel element is controlled to be substantially nonconductive; 3) determining an electrical characteristic (such as a voltage, current and/or resistance) of a third, conductive path through the series element, and through the programmed antifuse and the parallel element, the parallel element being controlled to be substantially conductive; and 4) determining the electrical characteristic (such as a resistance) of the antifuse based on the above three determinations in 1), 2) and 3). The method is usable to determine whether or not programmed antifuses of a programmable device have low enough resistances to meet desired reliability criteria.