Abstract: A slicer for a decision feedback error equalizer system which processes trellis encoded data using the ATSC trellis code is implemented in two parts. A first part includes a single-stage trellis decoder which estimates the value of a single bit of the symbol. The second part includes two trellis decoders each of which estimates the values of respective subsets of the symbols in the alphabet given that the single bit is zero or one. A multiplexer is responsive to the single stage trellis decoder to direct the received digital samples to one of the two trellis decoders in the second part of the slicer. An alternative slicer includes a first part which estimates two bits of the output symbols and selects from among four decoders in the second part in order to fully decode the symbols. The smart slicer can be generalized for any set-partitioned code with or without a feedback convolutional code.