Fan-In Constrained Tree Networks of Flexibe Cells

This paper is concerned with the synthesis of irredundant tree networks with two-input single-output flexible cells. An algorithm is developed which tests whether a given Boolean function is tree realizable; if it is tree realizable, a best tree is generated which realizes the function. It is shown that for each realizable function there exists a nontrivial unique partition from which a best tree can be constructed. Finally, the number of functions realizable by irredundant trees is determined.