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ENGIN112  L17: Encoders and Decoders October 10, 2003
Encoders and Decoders
Page 2


ENGIN112  L17: Encoders and Decoders October 10, 2003
Encoders and Decoders
ENGIN112  L17: Encoders and Decoders October 10, 2003
Overview
° Binary decoders
 Converts an n-bit code to a single active output
 Can be developed using AND/OR gates
 Can be used to implement logic circuits.
° Binary encoders
 Converts one of 2
n
inputs to an n-bit output
 Useful for compressing data
 Can be developed using AND/OR gates
° Both encoders and decoders are extensively used in
digital systems
Page 3


ENGIN112  L17: Encoders and Decoders October 10, 2003
Encoders and Decoders
ENGIN112  L17: Encoders and Decoders October 10, 2003
Overview
° Binary decoders
 Converts an n-bit code to a single active output
 Can be developed using AND/OR gates
 Can be used to implement logic circuits.
° Binary encoders
 Converts one of 2
n
inputs to an n-bit output
 Useful for compressing data
 Can be developed using AND/OR gates
° Both encoders and decoders are extensively used in
digital systems
ENGIN112  L17: Encoders and Decoders October 10, 2003
Binary Decoder
° Black box with n input lines and 2
n
output lines
° Only one output is a 1 for any given input
Binary
Decoder
n
inputs
2
n
outputs
Page 4


ENGIN112  L17: Encoders and Decoders October 10, 2003
Encoders and Decoders
ENGIN112  L17: Encoders and Decoders October 10, 2003
Overview
° Binary decoders
 Converts an n-bit code to a single active output
 Can be developed using AND/OR gates
 Can be used to implement logic circuits.
° Binary encoders
 Converts one of 2
n
inputs to an n-bit output
 Useful for compressing data
 Can be developed using AND/OR gates
° Both encoders and decoders are extensively used in
digital systems
ENGIN112  L17: Encoders and Decoders October 10, 2003
Binary Decoder
° Black box with n input lines and 2
n
output lines
° Only one output is a 1 for any given input
Binary
Decoder
n
inputs
2
n
outputs
ENGIN112  L17: Encoders and Decoders October 10, 2003
2 2- -to to- -4 Binary Decoder 4 Binary Decoder
° From truth table, circuit for
2x4 decoder is:
° Note: Each output is a 2-
variable minterm (X'Y', X'Y,
XY' or XY)
X YF
0
F
1
F
2
F
3
0 0 1 0 00
0 1 0 1 00
1 0 0 0 10
1 1 0 0 01
F
0
= X'Y'
F
1
= X'Y
F
2
= XY'
F
3
= XY
X Y
Truth Table:
2-to-4
Decoder
X
Y
F0
F1
F2
F3
Page 5


ENGIN112  L17: Encoders and Decoders October 10, 2003
Encoders and Decoders
ENGIN112  L17: Encoders and Decoders October 10, 2003
Overview
° Binary decoders
 Converts an n-bit code to a single active output
 Can be developed using AND/OR gates
 Can be used to implement logic circuits.
° Binary encoders
 Converts one of 2
n
inputs to an n-bit output
 Useful for compressing data
 Can be developed using AND/OR gates
° Both encoders and decoders are extensively used in
digital systems
ENGIN112  L17: Encoders and Decoders October 10, 2003
Binary Decoder
° Black box with n input lines and 2
n
output lines
° Only one output is a 1 for any given input
Binary
Decoder
n
inputs
2
n
outputs
ENGIN112  L17: Encoders and Decoders October 10, 2003
2 2- -to to- -4 Binary Decoder 4 Binary Decoder
° From truth table, circuit for
2x4 decoder is:
° Note: Each output is a 2-
variable minterm (X'Y', X'Y,
XY' or XY)
X YF
0
F
1
F
2
F
3
0 0 1 0 00
0 1 0 1 00
1 0 0 0 10
1 1 0 0 01
F
0
= X'Y'
F
1
= X'Y
F
2
= XY'
F
3
= XY
X Y
Truth Table:
2-to-4
Decoder
X
Y
F0
F1
F2
F3
ENGIN112  L17: Encoders and Decoders October 10, 2003
3 3- -to to- -8  Binary Decoder 8  Binary Decoder
x y zF
0
F
1
F
2
F
3
F
4
F
5
F
6
F
7
0 0 0 1 0000000
0 0 1 0 1000000
0 1 0 0 0100000
0 1 1 0 0010000
1 0 0 0 0001000
1 0 1 0 0000100
1 1 0 0 0000010
1 1 1 0 0000001
F
1
= x'y'z
x z y
F
0
= x'y'z'
F
2
= x'yz'
F
3
= x'yz
F
5
= xy'z
F
4
= xy'z'
F
6
= xyz'
F
7
= xyz
Truth Table:
3-to-8
Decoder
X
Y
F0
F1
F2
F3
F4
F5
F6
F7
Z
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FAQs on PPT: Encoders & Decoders - Analog and Digital Electronics - Electrical Engineering (EE)

1. What is the purpose of an encoder?
Ans. An encoder is a device or a program that converts data from one format to another. Its purpose is to transform the input data into a format that can be easily understood by the receiving device or program.
2. How does an encoder work?
Ans. An encoder works by taking an input data stream and converting it into a different format. It uses encoding algorithms to translate the data into a new representation, which can be in the form of binary code, symbols, or any other desired format.
3. What are the types of encoders?
Ans. There are various types of encoders, including binary encoders, priority encoders, and decimal encoders. Binary encoders convert binary-coded decimal (BCD) inputs into corresponding binary outputs, while priority encoders prioritize multiple inputs based on their significance. Decimal encoders convert a decimal number into binary format.
4. What is the purpose of a decoder?
Ans. A decoder is a device or a program that performs the opposite function of an encoder. Its purpose is to convert encoded data back into its original format or decipher a coded message. Decoders are commonly used in communication systems, computer graphics, and data transmission.
5. How does a decoder work?
Ans. A decoder works by taking an encoded input and translating it back into its original format. It uses decoding algorithms or logic circuits to reverse the encoding process. The input can be in the form of binary code, symbols, or any other encoded format, which the decoder deciphers and converts into the desired output.
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