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Multiplexer Functions: Operation, Universality, and Implementation

Understand the operation and universality of multiplexers for logic realization directly from truth tables. Implement functions using 2-to-1 and 4-to-1 line mux. Explore the tree structure of a multiplexer for N values ranging from 1 to infinity, and decode binary inputs to outputs as per specified conditions.

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Multiplexer Functions: Operation, Universality, and Implementation

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  1. Multiplexers

  2. Functional Description and Symbols

  3. Where, N = {1, 2, 3, ….. , ∞}

  4. Where, N = {1, 2, 3, ….. , ∞}

  5. Where, N = {1, 2, 3, ….. , ∞}

  6. Where, n = 2(m+1) – 1 m = {0,1, 2, 3, ….. , ∞}

  7. Operation of a 2-to-1 line Mux

  8. Operation of a 2-to-1 line Mux

  9. Operation of a 2-to-1 line Mux

  10. Operation of a 4-to-1 line Mux

  11. Operation of a 4-to-1 line Mux

  12. Operation of a 4-to-1 line Mux

  13. Operation of a 4-to-1 line Mux

  14. Operation of a 4-to-1 line Mux

  15. Operation of a Multiplexer Tree

  16. Operation of a Multiplexer Tree

  17. Operation of a Multiplexer Tree

  18. Operation of a Multiplexer Tree

  19. Operation of a Multiplexer Tree

  20. Implementing Functions Using Multiplexers

  21. Multiplexer Universality for Logic Realization Implementation directly from truth tables • f(a, b, c) = a’b’c + ab

  22. Multiplexer Universality for Logic Realization Implementation directly from truth tables • f(a, b, c) = a’b’c + ab for ( a , b ) = ( 0 , 0 )  f = c • for ( a , b ) = ( 0 , 1 )  f = 0 • for ( a , b ) = ( 1 , 0 )  f = 0 • for ( a , b ) = ( 1, 1 )  f = 1

  23. Multiplexer Universality for Logic Realization Implementation directly from truth tables • f(a, b, c) = a’b’c + ab for a == 0  f = b’ . c • for a == 1  f = ( b . c’ ) + ( b . c ) = b

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