A trellis design procedure for the M-user binary-adder channel is introduced. Based on this technique, trellis diagrams for some known 2-user coding schemes have been designed. In addition, a DC-free 2-user binary coding scheme, together with its trellis structure, is introduced and investigated. It is shown that the new technique provides about 2 dB energy gain in comparison with the conventional techniques. A useful and interesting application of this technique would be the token-ring local area network where the number of users can be increased without bandwidth expansion.