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An in-depth exploration of encoders and multiplexers, discussing their functions, truth tables, and applications. Encoders are digital circuits that generate binary codes from multiple input lines, while multiplexers are digital switches that select and transmit data from one of multiple inputs to a single output. The document also covers priority encoders and demultiplexers, as well as their roles in data communication and time sharing.
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Inputs Outputs I 0 I 1 I 2 I 3 I 4 I 5 I 6 I 7 y 2 y 1 y 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 I 0 I 1 I 2 I 3 I 4 I 5 I 6 I 7 y 0 = I 1 + I 3 + I 5 + I 7 y 1 = I 2 + I 3 + I 6 + I 7 y 2 = I 4 + I 5 + I 6 + I 7 8:3 Encoder
A priority encoder is an encoder that includes the priority function. If two or more inputs are equal to 1 at the same time, the input having the highest priority will take precedence. Truth Table of a 4-input Priority Encoder: Inputs Outputs D 0 D 1 D 2 D 3 x y V 0 0 0 0 X X 0 1 0 0 0 0 0 1 X 1 0 0 0 1 1 X X 1 0 1 0 1 X X X 1 1 1 1 Priority Encoder
MULTIPLEXERS & DEMULTIPLEXERS
Whenever the bandwidth of a medium linking two devices is greater than the bandwidth needs of the devices, the link can be shared. Two or more simultaneous transmissions on a single circuit. Multiplexing- time sharing/one out of many What does a Multiplexer do
A MUX is a digital switch that has multiple inputs (sources) and a single Output (destination). It is a Combinational circuit that selects information from one of the inputs at a time and directs it to a output Select Lines Inputs (sources) Output (destination)
Digital Multiplexer The select lines determine which input is connected to the output.
D D D D Y B A Building a Multiplexer B A Y 0 0 D 0 1 D 1 0 D 1 1 D
Building a Multiplexer of larger size – Modular design HOW DO WE BUILD A 4:1 MUX USING 2:1 MUXs
D0 D1 D2 D3 D0 D1 D2 D Transmitting signals
DECODER ; MULTIPLEXER
Boolean Function Implementation Implement using 4:1 MuX and gates 0 0 1 1 0 1 1 0 A (^) B C
