Homework 3 Solutions

It follows that bax x y x xy cay x y y xy f bc x

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Unformatted text preview: follows that B=AX =X +Y X =XY C=AY =X +Y Y =XY F =B+C =X Y +X Y =X Y +X Y completing the proof. 3 7. Design a 3-to-8-line decoder using only two 2-to-4-line decoders and 8 2-input AND gates. Solution: 2-to-4 Decoder D0 0 A0 A1 0 2 1 2 D1 1 2 D2 3 D3 D4 2-to-4 Decoder 0 A2 0 2 1 2 D5 1 2 D6 3 D7 8. Design a 3-to-8-line decoder with enable using only three 2-to-4-line decoders with enable. Solution: 2-to-4 Decoder A0 0 0 2 1 2 1 2 1 2 En A1 3 3 0 2-to-4 Decoder 0 0 A2 2 1 2 1 2 En En 3 2-to-4 Decoder 0 4 2 1 2 1 2 5 6 En 3 7 0 4 9. Design a 4-input priority encoder with inputs D0 , D1...
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