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Using logic gates is the traditional way of designing logic circuits.However, most of the minimization algorithms concern a limited set of gates(complete sets), like sum of products, exclusive-or sum of products, NANDgates, NOR gates e.t.c.. In this paper, a method is proposed for minimizingmulti-output Boolean functions using any kind of two-input gates although itcan easily be extended to multi-input gates. The method is based on non-linearmixed integer programming. The experimental results show that the method givesthe same or better results compared to other methods available in theliterature. However, other methods do not ensure that they produce the minimalsolution, while the main advantages of the proposed method are that it doesguarantee minimality and it can also handle Boolean functions for incompletelyspecified functions. The method is general enough and can easily be extended tomore complicated design modules than just basic gates.

Multi-output, multi-level, multi-gate design using non-linear programming