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Coupling capacitance between adjacent wires in on-chip busses significantly increases the average transition energy dissipation. This paper develops a mathematical model for a memoryless encoding scheme and proposes a novel partitioning method for reducing the transition energy. Specifically, for an 8-bit bus in 65 nm CMOS technology, we present an 11-wire solution that reduces energy dissipation by 22%. The proposed scheme achieves similar energy efficiency without increasing the complexity of the encoding and decoding circuitry when the bus is extended to 16, 32 and 64 bits.