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Simplifying circuits

Switching circuits

Concept 11 of 11 in Mathematical Logic

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Think about this

A circuit uses six switches: S1S_1 in series with a block of S2S_2, S3S_3 in parallel, and in parallel with all that, S3′S_3', S2′S_2', S1S_1 in series. Can fewer switches light the lamp in exactly the same cases?