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Digital Logic20755 marksDecoders and Encoders

Implement half adder using 2-4 decoders.

Implement half adder using 2-4 decoders. [5]

A half adder has two inputs (A, B) and two outputs (Sum, Carry). Truth Table: A B Sum (S) Carry (C) -------------------------- 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 Boolean Expressions (Sum of Minterms): $$S = A \oplus B = A'B + AB' = \sum m(1, 2)$$ $$C = AB = \sum m(3)$$ --- A 2-to-4 decoder takes 2 i...

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