In recent VLSI design of digital data paths, significantly more area is occupied by interconnect elements than by functional units and registers. Nevertheless, until recently most work in data path synthesis has been concentrated on trying to reduce the area of functional units and registers, without paying much attention to the interconnect area. Lately, research that addresses reducing the area of interconnection and of functional units and registers is increasing, but in them, most algorithms for assigning interconnect elements are not efficient enough to optimize the interconnect area. In most current research, algorithms for interconnect element assignment are used to calculate the cost functions during the scheduling and/or allocation steps. This makes it impossible to use efficient optimization algorithms that may consume long time. This paper presents some new algorithms used to assign interconnect elements in data paths. The algorithms minimize the number of multiplexer inputs after the scheduling and operator/register allocations have been made. The algorithms have two characteristics. First, we use a branch and bound method for small problems. We confirmed that exact solutions in practical time can be obtained with this method for rather large problems, when the solutions are restricted to a one-level multiplexer model. Second, we use a certain heuristic method for larger problems. The algorithms have been implemented in C on an Apollo Domain Series 10000.