Decoder

The decoder is a combinational logic circuit that changes the binary information to 2^N output lines. Binary information is passed in the form of N input lines, and the output lines define the 2^N bit code for the binary information.

There are various types of decoders, some are mentioned below:

2 to 4 line decoder

In this, there are a total of three inputs and four outputs. 

Truth Table: 

Logical Expression:

Y3=E.A1.A0

Y2=E.A1.A0‘

Y1=E.A1‘.A0

Y0=E.A1‘.A0‘

3 to 8 line decoder

It is also known as a binary to an octal decoder. In a 3 to 8 line decoder, there are a total of three inputs and eight outputs. 

Truth Table:

Logical expression:

Y0=A0′.A1′.A2′

Y1=A0.A1′.A2′

Y2=A0′.A1.A2′

Y3=A0.A1.A2′

Y4=A0′.A1′.A2

Y5=A0.A1′.A2

Y6=A0′.A1.A2

Y7=A0.A1.A2

Reference

Decoder