ABSTRACT
It is first demonstrated that networks of SPDT (Single Pole Double Throw) switches can be represented abstractly with a Boolean algebra in much the same way as networks of SPST (Single Pole Single Throw) switches have been treated by Shannon, provided a certain set of network wiring rules is established. A theorem is then proved which shows that all networks represented in this way can be handled as though each network were itself a single SPDT switch. Proof of a corollary then allows discussion of techniques of network construction. The component minimization problem is also discussed and several detailed examples are given.
- fr1 C. E. Shannon, "A symbolic analysis of relay and switching circuits," Proc. AIEE, vol. 57, pp. 713-723; 1938.Google Scholar
- fr2 C. E. Shannon, "The synthesis of two-terminal switching circuits," Bell Sys. Tech. Jour., vol. 28, pp. 59-98; January, 1949.Google ScholarCross Ref
- fr3 W. Keister, A. E. Ritchie, S. H. Washburn, "The Design of Switching Circuits," D. Van Nostrand Co., Inc., New York, N. Y., pp. 69-103; 1951.Google Scholar
- fr4 Shannon, "A symbolic analysis of relay and switching circuits." p. 722. Google ScholarDigital Library
- fr5 Shannon, "A symbolic analysis of relay and switching circuits," p. 719. Google ScholarDigital Library
- fr6 Keister, Ritchie, Washburn, op. cit., ch. 4.Google Scholar
- fr7 Shannon, "A symbolic analysis of relay and switching circuits," p. 721. Google ScholarDigital Library
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