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This paper describes the REAL REgister ALlocation program. REAL uses a track assignment algorithm taken from channel routing called the Left Edge algorithm. REAL is optimal for non-pipelined designs with no conditional branches. It is thought that REAL is also optimal for designs with conditional branches, pipelined or not. Experimental results are included in the report, which illustrate the optimal solutions found by REAL. REAL is part of the ADAM Advanced Design AutoMation system, and will be used to process designs output from MAHA and Sehwa.