How Many Muxes Decoders And Encoders Are In A Register

Encoders

The combinational circuits that change the binary data into Northward output lines are known as Encoders. The binary information is passed in the form of two^N input lines. The output lines define the N-flake code for the binary information. In simple words, the Encoder performs the reverse operation of the Decoder. At a fourth dimension, just 1 input line is activated for simplicity. The produced N-flake output code is equivalent to the binary information.

There are various types of encoders which are as follows:

four to ii line Encoder:

In 4 to 2 line encoder, there are full of four inputs, i.e., Y₀, Y₁, Y₂, and Y₃, and 2 outputs, i.e., A₀ and A₁. In four-input lines, one input-line is gear up to true at a time to get the respective binary code in the output side. Below are the block diagram and the truth tabular array of the 4 to 2 line encoder.

Block Diagram:

Truth Table:

The logical expression of the term A0 and A1 is as follows:

A₁=Y₃+Y_ii
A₀=Y₃+Y_ane

Logical excursion of the higher up expressions is given below:

viii to 3 line Encoder:

The viii to 3 line Encoder is also known equally Octal to Binary Encoder. In 8 to 3 line encoder, at that place is a total of 8 inputs, i.e., Y₀, Y_ane, Y₂, Y_iii, Y₄, Y_v, Y₆, and Y_vii and three outputs, i.e., A₀, A1, and A_two. In 8-input lines, i input-line is ready to true at a fourth dimension to get the respective binary lawmaking in the output side. Below are the block diagram and the truth table of the eight to 3 line encoder.

Block Diagram:

Truth Table:

The logical expression of the term A0, A1, and A2 are as follows:

A_two=Y₄+Y₅+Y₆+Y_seven
A_i=Y₂+Y₃+Y₆+Y₇
A₀=Y_seven+Y_five+Y_iii+Y_i

Logical circuit of the above expressions is given below:

Decimal to BCD Encoder

The Octal to Binary Encoder is also known as 10 to 4 line Encoder. In 10 to 4 line encoder, there are total of ten inputs, i.eastward., Y₀, Y₁, Y₂, Y₃, Y_iv, Y₅, Y₆, Y₇, Y₈, and Y_nine and four outputs, i.e., A₀, A1, A_ii, and A₃. In 10-input lines, one input-line is set up to true at a time to get the respective BCD lawmaking in the output side. The block diagram and the truth table of the decimal to BCD encoder are given below.

Block Diagram:

Truth Table:

The logical expression of the term A₀, A₁, A_two, and A₃ is as follows:

A3 = Y9 + Y8
A2 = Y7 + Y6 + Y5 +Y4
A1 = Y7 + Y6 + Y3 +Y2
A0 = Y9 + Y7 +Y5 +Y3 + Y1

Logical circuit of the above expressions is given below:

Priority Encoder:

iv to two line Priority Encoder:

In this priority encoder, there are full of 4 inputs, i.e., Y₀, Y_i, Y₂, and Y₃, and two outputs, i.e., A₀ and A_i. The Y₃ has loftier and Y₀ has depression priority inputs. When more than 1 input is '1' at the same fourth dimension, the output will be the (binary) code corresponding to the higher priority input. Below is the truth table of the 4 to two line priority encoder.

Truth Tabular array:

The logical expression of the term A₀ and A_one can be found using K-map as:

A₁=Y₃+Y₂
A₀=Y₃+Y₂'.Y₁

Logical circuit of the above expressions is given below:

Uses of Encoders:

These systems are very piece of cake to utilize in all digital systems.
Encoders are used to catechumen a decimal number into the binary number. The objective is to perform a binary operation such as add-on, subtraction, multiplication, etc.