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Issue No. 07 - July (2008 vol. 57)
ISSN: 0018-9340
pp: 965-977
Techniques for advanced logic design in spatial dimensions for the purposes of nano-devices and nanoICs are being formulated to incorporate certain topologies that satisfy certain requirements of nanotechnology. The hypercube is considered a relevant topology for the design of the N-hypercube in which switching functions are embedded. We propose using a similar topology for designing of sequential logic in spatial dimensions. The M-hypercube which is an extension of the hypercube topology is introduced as a building block for spatial sequential logic design. This cube can represent any finite state machine with any possible configuration. An MN-cell which is a combination of M- and N-hypercubes is introduced with several examples containing various embedding and assignment techniques of the M-hypercube and MN-cell. This paper presents logic design approaches to reduce the complexity of large M-hypercube representation via sequential machine decomposition. A study of the logic design of a basic computer in nanospace using M- and N-hypercube cells as building blocks is also presented with several examples included.
Sequential circuits, Logic Design, hypercube, nanocomputer

L. R. Hook IV and S. C. Lee, "Logic and Computer Design in Nanospace," in IEEE Transactions on Computers, vol. 57, no. , pp. 965-977, 2007.
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