A decoder is a type of digital circuit that converts the language of machine-readable language into user understandable language. Decoder ...
A decoder is a type of digital circuit that converts the language of machine-readable language into user understandable language.

Decoder
It gets a set of inputs that represent a binary number and activates output corresponding to the binary number. It plays the inverse role of an encoder.
In a decoder, we have to give n input line and from this, we will get a 2n output line.
3 to 8 Line Decoder
In every situation in this table, we see only a single output 1 and others are 0. For 3 line input, we get 8 line output. From 3 to 8 line decoder we get an octal number from a binary number.
Know about the encoders in Digital Electronics.
Decoder table
Input | Output | |||||||||
A | B | C | D₀ | D₁ | D₂ | D₃ | D₄ | D₅ | D₆ | D₇ |
0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
We get 8 equations,
D₀ =ĀB̄C̄
D₁ =ĀB̄C
D₂ =ĀBC̄
D₃ =ĀBC
D₄ =AB̄C̄
D₅ =AB̄C
D₆ =ABC̄
D₇ =ABC
D₀ =ĀB̄C̄
D₁ =ĀB̄C
D₂ =ĀBC̄
D₃ =ĀBC
D₄ =AB̄C̄
D₅ =AB̄C
D₆ =ABC̄
D₇ =ABC
3 to 8 line decoder block diagram
3 to 8 line decoder circuit diagram
Decoder applications
The decoder converts the machine language into human-understandable language. Such as,
- Binary to decimal
- BCD code to a decimal number
- Complex written code to normal language
- The decoder used in output devices. Such as the computer monitor

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