Abstract: A method for high speed communications uses an inventive Q-Gray code. The Q-Gray code simplifies the hardware needed to convert analog Q-Gray code signals to digital signals. An analog-to-digital converter can use a plurality of comparators for receiving the multilevel signal and a plurality of decoder blocks coupled to comparators for decoding the multilevel signal. Each decoder block can include an equal number of inputs. Specifically, each decoder block can also include a parity detector with an equal number of inputs. Each decoder block can also employ a bank of identical parity detectors relative to another decoder block. Each comparator of the analog to digital converter can have an individually or externally adjustable (or both) threshold level.