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1 of 18
By
Mr. C.R.Shinde
Electrical Engineering Department
Matoshri College of Engineering & Research centre, Nashik
Unit 01 : Design of combinational circuit
M1:-Introductions
M2:- Booleans algebra, De-Morgan theory.
M3:- Karnaugh map: structure for two, three and four Variables, SOP and
POS form reduction of Boolean expressions by K-map.
M4:- Design of combinational circuits using Boolean expression and K-
map.
M5:- encoder, decoder, half and full adder.
Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 2
half and full adder.
Unit 1_Module5 3
Matoshri College of Engineering & Research Center Nashik
Half Adder
Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 4
B
A
S 

B
A
C 

Only add single bit .
It does not take carry from previous sum
LOGIC DIAGRAM HALF ADDER
Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 5
B
A
S 

B
A
C 

Full Adder
Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 6
For sum
Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 7
C
AB 0 1
00 0 1
01 1 0
11 0 1
10 1 0
C
B
A
SUM 


SUM LOGIC DIAGRAM
Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 8
)
( B
A 
)
( C
B
A 

For carry
Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 9
C
AB 0 1
00 0 0
01 0 1
11 1 1
10 0 1
AC
AB
BC
Carry 


)
( B
A
C
AB
Carry 


LOGIC DIAGRAM FULL ADDER
Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 10
)
( B
A 
)
( B
A 
)
( B
A
C 
)
( B
A 
)
( C
B
A 

)
(
)
( B
A
C
B
A 


ENCODERS
Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 11
Encoder is combinational circuit that generate a
specific code at its output.
Block diagram of encoder.
Types of encoder
Unit 1_Module5
Matoshri College of Engineering & Research Center
Nashik 12
1. Priority encoder
2. Decimal to BCD encoder
3. Octal to binary encoder.
4. Hexadecimal to binary encoder.
Priority encoder
Unit 1_Module5
Matoshri College of Engineering & Research Center
Nashik 13
Application of encoder.
Unit 1_Module5
Matoshri College of Engineering & Research Center
Nashik 14
1. Email
2. Video encoder
3. Communication system and networking.
DECODER
Unit 1_Module5
Matoshri College of Engineering & Research Center
Nashik 15
DECODER is a combinational circuit that convert an n-bit
binary code to coded output.
3:8 line decoder
Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 16
Application of decoder
Unit 1_Module5
Matoshri College of Engineering & Research Center
Nashik 17
1. BCD to 7 segment decoder.
2. Address decoding
3. Code converting
4. Implement Boolean function.
Thank you
Mr. C. R. Shinde
Electrical Engineering Department
Matoshri College of Engineering & Research centre, Nashik
If you have any query, ask me anytime on…… … .. . . .
cshinde58@gmail.com
chandrakant.shinde@matoshri.edu.in
9970031353
Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 18

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module5: Encode/Decode Half & Full Adder

  • 1. By Mr. C.R.Shinde Electrical Engineering Department Matoshri College of Engineering & Research centre, Nashik
  • 2. Unit 01 : Design of combinational circuit M1:-Introductions M2:- Booleans algebra, De-Morgan theory. M3:- Karnaugh map: structure for two, three and four Variables, SOP and POS form reduction of Boolean expressions by K-map. M4:- Design of combinational circuits using Boolean expression and K- map. M5:- encoder, decoder, half and full adder. Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 2
  • 3. half and full adder. Unit 1_Module5 3 Matoshri College of Engineering & Research Center Nashik
  • 4. Half Adder Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 4 B A S   B A C   Only add single bit . It does not take carry from previous sum
  • 5. LOGIC DIAGRAM HALF ADDER Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 5 B A S   B A C  
  • 6. Full Adder Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 6
  • 7. For sum Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 7 C AB 0 1 00 0 1 01 1 0 11 0 1 10 1 0 C B A SUM   
  • 8. SUM LOGIC DIAGRAM Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 8 ) ( B A  ) ( C B A  
  • 9. For carry Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 9 C AB 0 1 00 0 0 01 0 1 11 1 1 10 0 1 AC AB BC Carry    ) ( B A C AB Carry   
  • 10. LOGIC DIAGRAM FULL ADDER Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 10 ) ( B A  ) ( B A  ) ( B A C  ) ( B A  ) ( C B A   ) ( ) ( B A C B A   
  • 11. ENCODERS Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 11 Encoder is combinational circuit that generate a specific code at its output. Block diagram of encoder.
  • 12. Types of encoder Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 12 1. Priority encoder 2. Decimal to BCD encoder 3. Octal to binary encoder. 4. Hexadecimal to binary encoder.
  • 13. Priority encoder Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 13
  • 14. Application of encoder. Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 14 1. Email 2. Video encoder 3. Communication system and networking.
  • 15. DECODER Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 15 DECODER is a combinational circuit that convert an n-bit binary code to coded output.
  • 16. 3:8 line decoder Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 16
  • 17. Application of decoder Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 17 1. BCD to 7 segment decoder. 2. Address decoding 3. Code converting 4. Implement Boolean function.
  • 18. Thank you Mr. C. R. Shinde Electrical Engineering Department Matoshri College of Engineering & Research centre, Nashik If you have any query, ask me anytime on…… … .. . . . cshinde58@gmail.com chandrakant.shinde@matoshri.edu.in 9970031353 Unit 1_Module5 Matoshri College of Engineering & Research Center Nashik 18