1. A faulty memory processing method in a data processing system including memory means having a normal memory with a plurality of cells for storing information, a relief memory, and error correction means for detecting and correcting an error in information read out from at least one cell in said normal memory, said data processing system executing a time-sharing data process with time period breaks, said faulty-memory processing method comprising the steps of: detecting a hard error which may exist in at least one cell in said normal memory, said detection being carried out using said error correction means; correcting, using said error correction means, an error in information read out from a detected harderror cell of the normal memory; transcribing information including the corrected information with respect to the detected hard-error cell of the normal memory into the relief memory, said correcting and transcribing steps being executed during the time period breaks in said time-sharing data process; and processing in a normal mode where data read out from the memory means are immediately utilized without waiting for the detection and correction performed by the error