We describe an approach to an electronic system based on assumptions made r
egarding low dimensional devices. Systems using those devices will have thr
ee major obstacles: The variation of the parameters is increasing, the reli
ability of the individual switching elements decreases and the interconnect
ion between those elements will prove to be more difficult than ever. To ov
ercome those obstacles we consider an approach using locally interconnected
very simple elements in a neuromorphic way. Because analog implementations
of weighting and addition can be made very simple, we examine a theoretica
l analog implementation of linear threshold gates as the simple elements ne
eded for a neuromorphic approach. We derive the dependence of the tolerance
against statistical variations on the interconnect density and show, that
one can increase the tolerance against parameter variations with an increas
e of the interconnect density. Finally we conclude the discussion with an e
xample of a Full Adder based on monostable bistable transition logic elemen
ts (MOBILE) build with resonant tunneling diodes (RTD). We show that it is
possible to trade off the number of interconnections and computing elements
against the robustness against statistical variations. (C) 2000 Elsevier S
cience S.A. All rights reserved.