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Question

State De-Morgan's theorems.

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Solution

i) The complement of a sum is equal to the product of the complements. If A and B are the inputs, then ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯A+B=¯A¯B.
ii) The complement of a product is equal to the sum of the complements.
¯¯¯¯¯¯¯¯¯¯¯¯AB=¯A+¯B.

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