Fredkin gates as a basis for comparison of different logic design solutions
Philip D. Picton
Abstract
Philip D. Picton
Abstract
In this paper one particular gate is proposed which has the potential to be implemented optically. It has the advantage that, if necessary, it can perform conventional Boolean logic, but it can also perform alternative logics such as conservative logic, multi-valued logic and threshold logic. Since the same gate is used regardless of the logic, it is possible to make a comparison of the various logics, so that hopefully it can be shown that for specific applications Boolean logic may not always be the best solution.< >
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In this paper one particular gate is proposed which has the potential to be implemented optically. It has the advantage that, if necessary, it can perform conventional Boolean logic, but it can also perform alternative logics such as conservative logic, multi-valued logic and threshold logic. Since the same gate is used regardless of the logic, it is possible to make a comparison of the various logics, so that hopefully it can be shown that for specific applications Boolean logic may not always be the best solution.< >
Key concepts: Logic gate, Logic optimization, Computer science, Pass transistor logic, AND-OR-Invert, Logic synthesis, Logic family, Mathematics