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Multiplexers & Demultiplexers

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Digital Electronics - Multiplexers & Demultiplexers

Published in: Engineering
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Multiplexers & Demultiplexers

  1. 1. Multiplexer (data Selectors) • Definition : A multiplexers (MUX) is a device that allows digital information from several sources to be routed onto a single line for transmission over that line to a common destination. • Several data input lines • Some select line (less than the no. of input lines) • Single output line • If there are n data input lines and m select lines, then 2m = n
  2. 2. Functional Diagram Of a Multiplexer
  3. 3. 2 : 1 Multiplexer S Z 0 I0 1 I1
  4. 4. 4 : 1 Multiplexer S0 S1 Z 0 0 I0 0 1 I1 1 0 I2 1 1 I3
  5. 5. 8 : 1 Multiplexer S0 S1 S3 Z 0 0 0 I0 0 0 1 I1 0 1 0 I2 0 1 1 I3 1 0 0 I4 1 0 1 I5 1 1 0 I6 1 1 1 I7
  6. 6. Multiplexer Tree • The Multiplexers with more number of inputs can be obtained by cascading two or more multiplexers with less number of inputs. • Below is a design of 16:1 MUX using 4 4:1 MUXs :-
  7. 7. Demultiplexer (Data Distributor) • Definition : A DEMULTIPLEXER (DEMUX) basically reverses the multiplexing function. It takes data from one line and distributes them to a given number of output lines. For this reason, the demultiplexers is also known as a data distributor. • Single data input lines • Some select line (less than the no. of output lines) • Several output line • If there are n data output lines and m select lines, then 2m = n
  8. 8. Functional Diagram Of a Demultiplexer
  9. 9. 1 : 2 Demultiplexer S0 Y0 Y1 0 D 0 1 0 D
  10. 10. 1 : 4 Demultiplexer S0 S1 D0 D1 D2 D3 0 0 D 0 0 0 0 1 0 D 0 0 1 0 0 0 D 0 1 1 0 0 0 D
  11. 11. 1 : 8 Demultiplexer
  12. 12. 1 : 8 Demultiplexer (Truth Table) S0 S1 S3 D0 D1 D2 D3 D4 D5 D6 D7 0 0 0 D 0 0 0 0 0 0 0 0 0 1 0 D 0 0 0 0 0 0 0 1 0 0 0 D 0 0 0 0 0 0 1 1 0 0 0 D 0 0 0 0 1 0 0 0 0 0 0 D 0 0 0 1 0 1 0 0 0 0 0 D 0 0 1 1 0 0 0 0 0 0 0 D 0 1 1 1 0 0 0 0 0 0 0 D
  13. 13. Demultiplexer Tree F0 F1 F3F2 F4 F5 F6 F7 S0 S1 S2 1:2 Demux 1:2 Demux 1:2 Demux 1:2 Demux 1:2 Demux 1:2 Demux 1:2 Demux INPUT 0 1 0 0 0 0 0 0 1 1 1 1 1 1 S S S S S S S Below is a design of 1:8 MUX using 7 1: MUXs :-
  14. 14. Implementation Of Logic Functions using Multiplexer A B C F 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 f(a, b, c) = a’b’c + ab 0 0 0 1 0 0 1 1 A B C S2 S0S1 F 8:1 MUX 0 4 3 1 2 5 6 7
  15. 15. A B C O F 0 0 0 0 C 0 0 1 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 C 0 0 1 B C S0S1 F 4:1 MUX 0 1 2 3 f(a, b, c) = a’b’c + ab
  16. 16. A B C D O F 0 0 0 0 0 D 0 0 0 1 1 0 0 1 0 0 D 0 0 1 1 1 0 1 0 0 1 D’ 0 1 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 D’ 1 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 f(a, b, c) = F=A’B’C’D + A’B’CD + A’BC’D’ + AB’CD + ABC’D’ + ABC’D + ABCD’ +ABCD D 0 1 A B C S2 S0S1 F 8:1 MUX 0 4 3 1 2 5 6 7 D’
  17. 17. THANK YOU

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