# Digital Circuits/Encoders-Decoders

Encoders and decoders are similar to multiplexers and demultiplexers, except that they are a little bit more complicated.

## Decoders

Decoders will have N inputs, and ${\displaystyle 2^{N}}$ output. Let's say that we have two inputs (A and B), and 4 outputs (M N O P). Decoders will satisfy the following truth table:

 A B M N O P 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 1

Binary numbers come in, and essentially select which wire to send a signal on. chankana

## Encoders

Encoders work in exactly the opposite way as decoders, taking ${\displaystyle 2^{N}}$ inputs, and having N outputs. When a bit comes in on an input wire, the encoder outputs the physical address of that wire.It takes 2^n inputs and gives out n outputs,the enable pin should be kept 1 for enabling the circuit.

Truth Table for 4:2 encoder circuit
Y3 Y2 Y1 Y0 A B
0 0 0 1 0 0
0 0 1 0 0 1
0 1 0 0 1 0
1 0 0 0 1 1

## Priority Encoders

```  A Priority Encoder works opposite of the decoder circuit. Priority Encoders have logical ranking within them, input_1 may be higher than input_2. If input_2 and input_1 were pressed, the encoder would determine the priority, and accept the input.
```

## Encoders and Multiplexers

The relationship between the two.

A multiplexer (MUX) is a combination circuit that contains more than one input line, one output line and more than one selection line. Whereas, an encoder is also considered a type of multiplexer but without a single output line.It is a combinational logic function that has 2^n (or fewer) input lines and n output lines.

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