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ENCODERS
&
DECODERS
Combinational Logic
GROUP MEMBERS
■ ABDUL BASIT - 14CS01
■ HAMMAD RASHID - 14CS39
■ UMAIR SIMJEE - 14CS71
■ HAFIZ FAIZAN - 14CS15
INTRODUCTION
■ Encoders and Decoders are combinational logic circuits.
■ Combinatorial logic is a concept in which two or more input
states define one or more output states.
■ We Implement Combinational logic circuit using Boolean
Algebra.
■ Combinational logic is used in circuits to perform Boolean
algebra on input signals.
■ Part Of ALU processes, That performs mathematics is carried out
through combinational logics.
Contd.
■ An encoder is a device which transforms the data into some bits known
only to it and the decoder is a device which transforms those coded bits to
generate the original data again.
■ Encoding and Decoding is done for the safe transmission of data.
■ To encode something is to convert an unambiguous piece of information
into a form of code that is not so clearly understood.
■ To decode is to perform the reverse operation: converting a code back
into an unambiguous form.
■ The Main Difference between a decoder and encoder is that a decoder has
binary code as an input while an encoder has binary code as an output.
ENCODER
■ An encoder is an electronic device used to convert an analogue signal to a
digital signal.
■ It has a number of input lines, but only one of the inputs is activated at a
given time and produces an N-bit output code that depends on the
activated input.
ENCODER
SCHEMATIC DIAGRAM
■ The encoder accepts 2^N inputs and
produces N-number of outputs. For
example, in 4-2 encoder, if we give 4
inputs it produces only 2 outputs.
■ When we have 8 bits encoder, it
means N = 3 and the output will be 3
binary digit output.
ENCODER
TRUTH TABLE
■ The value of output depends upon
the logic gate being used.
■ Different gates yield different
output.
ENCODER
Octal To Binary Encoder
■ Octal-to-Binary take 8 inputs and provides 3 outputs.
■ At any one time, only one input line has a value of 1.
■ Truth Table
■
ENCODER
SCHEMATIC DIAGRAM
ENCODER
PRIORITY ENCODER
■ A priority encoder is a circuit or algorithm that compresses multiple binary inputs
into a smaller number of outputs.
■ If 2 or more inputs are equal to 1 at the same time, the input having the highest
priority will take precedence. Internal hardware will check this condition and
priority is set.
ENCODER
4 BIT PRIORITY ENCODER – TRUTH TABLE
DECODER
■ A decoder is a logic circuit that accepts a set of inputs that
represents a binary number and activates only the output
that corresponds to the input number.
■ In other words, a decoder circuit looks at its inputs,
determines which binary number is present there, and
activates the one output that corresponds to that number,
all other outputs remain inactive.
DECODER
■ A decoder is a circuit that changes a code into a set of
signals.
■ In its general form, a decoder has N input lines to handle
N bits and form one to 2^N output lines to indicate the
presence of one or more N-bit combinations.
■ An AND gate can be used as the basic decoding element
because it produces a high output only when all inputs are
high.
DECODER
■ Binary decoder
■ 2-bit decoder
■ 3-bit decoder
■ BCD-to-decimal decoder
■ BCD-to-Seven-Segment Decoder
DECODER
■ Binary decoder
The output is 1 only when:
A0 = 1
A2 = 0
A3 = 0
A4 = 1
DECODER
2 TO 4 LINE DECODER – SCHEMATIC DIAGRAM and TRUTH TABLE
DECODER
3 TO 8 LINE DECODER – TRUTH TABLE
DECODER
3 TO 8 LINE DECODER – SCHEMATIC DIAGRAM
DECODER
BCD TO DECIMAL DECODER
DECODER
BCD TO SEVEN SEGMENT DECODER
 Digital readouts on many digital products often use
LED seven-segment displays.
 Each digit is created by lighting the appropriate
segments. The segments are labeled a,b,c,d,e,f,g
 The decoder takes a BCD input and outputs the correct
code for the seven-segment display.

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Encoders and decoders

  • 2. GROUP MEMBERS ■ ABDUL BASIT - 14CS01 ■ HAMMAD RASHID - 14CS39 ■ UMAIR SIMJEE - 14CS71 ■ HAFIZ FAIZAN - 14CS15
  • 3. INTRODUCTION ■ Encoders and Decoders are combinational logic circuits. ■ Combinatorial logic is a concept in which two or more input states define one or more output states. ■ We Implement Combinational logic circuit using Boolean Algebra. ■ Combinational logic is used in circuits to perform Boolean algebra on input signals. ■ Part Of ALU processes, That performs mathematics is carried out through combinational logics.
  • 4. Contd. ■ An encoder is a device which transforms the data into some bits known only to it and the decoder is a device which transforms those coded bits to generate the original data again. ■ Encoding and Decoding is done for the safe transmission of data. ■ To encode something is to convert an unambiguous piece of information into a form of code that is not so clearly understood. ■ To decode is to perform the reverse operation: converting a code back into an unambiguous form. ■ The Main Difference between a decoder and encoder is that a decoder has binary code as an input while an encoder has binary code as an output.
  • 5. ENCODER ■ An encoder is an electronic device used to convert an analogue signal to a digital signal. ■ It has a number of input lines, but only one of the inputs is activated at a given time and produces an N-bit output code that depends on the activated input.
  • 6. ENCODER SCHEMATIC DIAGRAM ■ The encoder accepts 2^N inputs and produces N-number of outputs. For example, in 4-2 encoder, if we give 4 inputs it produces only 2 outputs. ■ When we have 8 bits encoder, it means N = 3 and the output will be 3 binary digit output.
  • 7. ENCODER TRUTH TABLE ■ The value of output depends upon the logic gate being used. ■ Different gates yield different output.
  • 8. ENCODER Octal To Binary Encoder ■ Octal-to-Binary take 8 inputs and provides 3 outputs. ■ At any one time, only one input line has a value of 1. ■ Truth Table ■
  • 10. ENCODER PRIORITY ENCODER ■ A priority encoder is a circuit or algorithm that compresses multiple binary inputs into a smaller number of outputs. ■ If 2 or more inputs are equal to 1 at the same time, the input having the highest priority will take precedence. Internal hardware will check this condition and priority is set.
  • 11. ENCODER 4 BIT PRIORITY ENCODER – TRUTH TABLE
  • 12. DECODER ■ A decoder is a logic circuit that accepts a set of inputs that represents a binary number and activates only the output that corresponds to the input number. ■ In other words, a decoder circuit looks at its inputs, determines which binary number is present there, and activates the one output that corresponds to that number, all other outputs remain inactive.
  • 13. DECODER ■ A decoder is a circuit that changes a code into a set of signals. ■ In its general form, a decoder has N input lines to handle N bits and form one to 2^N output lines to indicate the presence of one or more N-bit combinations. ■ An AND gate can be used as the basic decoding element because it produces a high output only when all inputs are high.
  • 14. DECODER ■ Binary decoder ■ 2-bit decoder ■ 3-bit decoder ■ BCD-to-decimal decoder ■ BCD-to-Seven-Segment Decoder
  • 15. DECODER ■ Binary decoder The output is 1 only when: A0 = 1 A2 = 0 A3 = 0 A4 = 1
  • 16. DECODER 2 TO 4 LINE DECODER – SCHEMATIC DIAGRAM and TRUTH TABLE
  • 17. DECODER 3 TO 8 LINE DECODER – TRUTH TABLE
  • 18. DECODER 3 TO 8 LINE DECODER – SCHEMATIC DIAGRAM
  • 20. DECODER BCD TO SEVEN SEGMENT DECODER  Digital readouts on many digital products often use LED seven-segment displays.  Each digit is created by lighting the appropriate segments. The segments are labeled a,b,c,d,e,f,g  The decoder takes a BCD input and outputs the correct code for the seven-segment display.