I s 1 i 1 i 2 i 3 s y 00 01 41 s 1 s i 1 i i 2 i 3 y

• Notes
• 36

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I 0 S 1 I 1 I 2 I 3 S 0 y 00 01 4:1 mux 10 11 S 1 S 0 I 1 I 0 I 2 I 3 Y y I 0 S 1 S 0 0 0 1 0 0 1 1 1 I 1 I 3 I 2 12

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Implementing Boolean expressions using Multiplexers 1 2 1 2 y x x x x 13
Implementing Boolean expressions using Multiplexers 1 2 1 2 y x x x x x 1 x 2 y 0 0 0 0 1 1 y = x 2 when x 1 = 0 1 0 1 1 1 0 y = x 2 when x 1 = 1 14

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Implementing Boolean expressions using Multiplexers y 0 1 1 2 1 2 y x x x x 1 x ? ? x 1 x 2 y 0 0 0 0 1 1 y = x 2 when x 1 = 0 1 0 1 1 1 0 y = x 2 when x 1 = 1 15
Implementing Boolean expressions using Multiplexers y 0 1 1 2 1 2 y x x x x 1 x ? ? x 1 x 2 y 0 0 0 0 1 1 y = x 2 when x 1 = 0 x 2 1 0 1 1 1 0 y = x 2 when x 1 = 1 x 2 16

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( , , ) (1,2,6,7) F x y z A 3 variable function can be implemented with a 4:1 mux with 2 select lines 17
( , , ) (1,2,6,7) F x y z A 3 variable function can be implemented with a 4:1 mux with 2 select lines F x y z 0 0 0 0 0 0 1 0 F = 0 when yz = 00 0 1 0 1 0 1 1 0 F = x when yz =01 1 0 1 0 0 1 1 1 F = 1 when yz = 10 1 1 1 1 0 0 1 1 F = x when yz = 11 18

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( , , ) (1,2,6,7) F x y z A 3 variable function can be implemented with a 4:1 mux with 2 select lines 00 01 10 11 F y z F x y z 0 0 0 0 0 0 1 0 F = 0 when yz = 00 0 0 1 0 1 0 1 1 0 F = x when yz =01 x 1 0 1 0 0 1 1 1 F = 1 when yz = 10 1 1 1 1 1 0 0 1 1 F = x when yz = 11 x 19
Mux. expansion 1 0 E S y I 0 I 1 y S E I 1 I 0 0 0 0 x 1 1 1 20

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Mux. expansion 1 0 E S y I 0 I 1 y S E I 1 I 0 0 0 0 x 1 1 1 y I 0 S 1 S 0 0 0 1 0 0 1 1 1 I 1 I 3 I 2 21
Mux. expansion 1 0 E S y I 0 I 1 y S E I 1 I 0 0 0 0 x 1 1 1 E 0 1 E 0 1 I 0 I 1 I 2 I 3 S 0 S 0 S 1 y y I 0 S 1 S 0 0 0 1 0 0 1 1 1 I 1 I 3 I 2 22

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Mux. expansion 1 0 E S y I 0 I 1 y S E I 1 I 0 0 0 0 x 1 1 1 E 0 1 E 0 1 I 0 I 1 I 2 I 3 S 0 S 0 S 1 y y I 0 S 1 S 0 0 0 1 0 0 1 1 1 I 1 I 3 I 2 0 1 0 0 1 I 1 I 1 23
Mux. expansion 1 0 E S y I 0 I 1 y S E I 1 I 0 0 0 0 x 1 1 1 E 0 1 E 0 1 I 0 I 1 I 2 I 3 S 0 S 0 S 1 y y I 0 S 1 S 0 0 0 1 0 0 1 1 1 I 1 I 3 I 2 1 0 1 0 1 I 3 I 3 24

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DeMultiplexer u-1 u-2 u-3 u-4 u-11 u-22 u-33 u-44 u-1 u-2 u-3 u-4 Mux u-11 u-44 u-33 u-22 Demux 25
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• Spring '16

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