Error detection and error location determination circuitry is provided for detecting and locating soft errors in random-access-memory arrays on programmable integrated circuits. The random-access-memory arrays contain rows and columns of random-access-memory cells. Some of the cells are loaded with configuration data and produce static output signals that are used to program associated regions of programmable logic. Cyclic redundancy check error correction check bits are computed for each column of each array. The error correction check bits are stored in corresponding columns of cells in the array. During normal operation of an integrated circuit in a system, the cells are subject to soft errors caused by background radiation strikes. The error detection and error location determination circuitry contains linear feedback shift register circuitry that processes columns of array data. The circuitry continuously processes the data to identify the row and column location of each error.