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WELCOME TO OUR 
PRESENTATION
OUR PRESENTATION 
ON ENCODER
Presented by: 
• Mahmudul hasan 
ID : 133-15-2999 
• Jannatul Nayeem 
ID : 133-15-3016 
• Shahadat Hossain 
ID:133-15-3031
 The encoder is a combinational circuit that performs the reverse operation of the 
decoder. The encoder has a maximum of 2n inputs and n outputs. 
 The simplest encoder is a 2n-to-n binary encoder 
One of 2n inputs = 1 
Output is an n-bit binary number 
. 
. 
. 
. 
. 
. 
2n 
inputs 
n 
outputs 
Binary 
encoder 
What is Encoder?
Encoders vs. Decoders 
Decoder Encoder 
Binary decoders/encoders 
 n-to- 2n 
 Input code : Binary Code 
 Output code :1-out-of- 2n. 
 2n -to-n encoder 
 Input code : 1-out-of- 2n. 
 Output code : Binary Code
• 2n-to-n encoder : 2n inputs and n outputs. 
• Input code : 1-out-of-2n. 
• Output code : Binary Code 
• Example : n=3, 8-to-3 encoder 
Inputs Outputs 
• 
I0 I1 I2 I3 I4 I5 I6 I7 Y2 Y1 Y0 
1 0 0 0 0 0 0 0 0 0 0 
0 1 0 0 0 0 0 0 0 0 1 
0 0 1 0 0 0 0 0 0 1 0 
0 0 0 1 0 0 0 0 0 1 1 
0 0 0 0 1 0 0 0 1 0 0 
0 0 0 0 0 1 0 0 1 0 1 
0 0 0 0 0 0 1 0 1 1 0 
0 0 0 0 0 0 0 1 1 1 1 
Binary encoder 
I0 
I1 
I2 
Y0 
I3 Y1 
I4 Y2 
I5 
I6 
I7 
Binary Encoder
• 2n -to-n encoder : 2n inputs and n outputs. 
• Input code : 1-out-of-2n. 
• Output code : Binary Code 
• Example : n=3, 8-to-3 encoder 
• 
Inputs Outputs 
• 
I0 I1 I2 I3 I4 I5 I6 I7 Y2 Y1 Y0 
1 0 0 0 0 0 0 0 0 0 0 
0 1 0 0 0 0 0 0 0 0 1 
0 0 1 0 0 0 0 0 0 1 0 
0 0 0 1 0 0 0 0 0 1 1 
0 0 0 0 1 0 0 0 1 0 0 
0 0 0 0 0 1 0 0 1 0 1 
0 0 0 0 0 0 1 0 1 1 0 
0 0 0 0 0 0 0 1 1 1 1 
Binary encoder 
I0 
I1 
I2 
Y0 
I3 Y1 
I4 Y2 
I5 
I6 
I7 
8-to-3 encoder Implementation
• Simplified implementation: 
- From the truth table 
Y0 = I1 + I3 + I5 + I7 
Y1 = I2 + I3 + I6 + I7 
Y2 = I4 + I5 + I6 + I7 
• Limitations : 
- I0 has no effect on the output 
- Only one input can be activate 
• Application: 
Handling multiple devices requests 
But, no simultaneous requests 
I0 
I1 
I2 
I3 
I4 
I5 
I6 
I7 
Y2 
Y1 
Y0 
8-to-3 encoder Implementation
Encoder
Encoder

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Encoder

  • 1. WELCOME TO OUR PRESENTATION
  • 3. Presented by: • Mahmudul hasan ID : 133-15-2999 • Jannatul Nayeem ID : 133-15-3016 • Shahadat Hossain ID:133-15-3031
  • 4.  The encoder is a combinational circuit that performs the reverse operation of the decoder. The encoder has a maximum of 2n inputs and n outputs.  The simplest encoder is a 2n-to-n binary encoder One of 2n inputs = 1 Output is an n-bit binary number . . . . . . 2n inputs n outputs Binary encoder What is Encoder?
  • 5. Encoders vs. Decoders Decoder Encoder Binary decoders/encoders  n-to- 2n  Input code : Binary Code  Output code :1-out-of- 2n.  2n -to-n encoder  Input code : 1-out-of- 2n.  Output code : Binary Code
  • 6. • 2n-to-n encoder : 2n inputs and n outputs. • Input code : 1-out-of-2n. • Output code : Binary Code • Example : n=3, 8-to-3 encoder Inputs Outputs • I0 I1 I2 I3 I4 I5 I6 I7 Y2 Y1 Y0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 Binary encoder I0 I1 I2 Y0 I3 Y1 I4 Y2 I5 I6 I7 Binary Encoder
  • 7. • 2n -to-n encoder : 2n inputs and n outputs. • Input code : 1-out-of-2n. • Output code : Binary Code • Example : n=3, 8-to-3 encoder • Inputs Outputs • I0 I1 I2 I3 I4 I5 I6 I7 Y2 Y1 Y0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 Binary encoder I0 I1 I2 Y0 I3 Y1 I4 Y2 I5 I6 I7 8-to-3 encoder Implementation
  • 8.
  • 9. • Simplified implementation: - From the truth table Y0 = I1 + I3 + I5 + I7 Y1 = I2 + I3 + I6 + I7 Y2 = I4 + I5 + I6 + I7 • Limitations : - I0 has no effect on the output - Only one input can be activate • Application: Handling multiple devices requests But, no simultaneous requests I0 I1 I2 I3 I4 I5 I6 I7 Y2 Y1 Y0 8-to-3 encoder Implementation