Bit falsifications occur in the switching networks of digital communication systems in the transmission through these switching networks of bit streams composed of a plurality of information words. By correcting these bit errors, only a correctly transmitted information word is forwarded to a destination subscriber after the transmission given redundantly executed and activated switching network halves. Whether an information word was correctly transmission is determined after the transmission with a combined parity bit check as well as bit-by-bit comparison to the information word transmission in parallel. It is assured that bit falsifications of the units (holding memories) participating in the transmission process are detected and corrected.