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3. 3. <ul><li>Adder : </li></ul><ul><li> In electronics an adder is digital circuit that perform addition of numbers. </li></ul><ul><li>In modern computer adder reside in the arithmetic logic unit (ALU). </li></ul>
4. 4. <ul><li>Adders : </li></ul><ul><li>Adders are important not only in the computer but also in many types of digital systems in which the numeric data are processed. </li></ul><ul><li>Types of adder: </li></ul><ul><li>Half adder </li></ul><ul><li>Full adder </li></ul>
5. 5. <ul><li>Half adder : </li></ul><ul><li>The half adder accepts two binary digits on its inputs and produce two binary digits outputs, a sum bit and a carry bit. </li></ul>
6. 6. <ul><li>Full adder : </li></ul><ul><li>The full adder accepts two inputs bits and an input carry and generates a sum output and an output carry. </li></ul>
8. 8. Truth Table of Adder
9. 9. Truth Table of Adder A B C in C out ∑ 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1
10. 10. Truth Table of Adder A B C in C out ∑ 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1
11. 11. Truth Table of Adder A B C in C out ∑ 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1
12. 12. Truth Table of Adder A B C in C out ∑ 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1
13. 13. Truth Table of Adder A B C in C out ∑ 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1
14. 14. Truth Table of Adder A B C in C out ∑ 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1
15. 15. Truth Table of Adder A B C in C out ∑ 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1
16. 16. Truth Table of Adder A B C in C out ∑ 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1
17. 17. Circuit of Adder A B
18. 18. Circuit of Adder A B X
19. 19. Circuit of Adder A B C in ∑
20. 20. Circuit of Adder A B C in ∑ Y
21. 21. Circuit of Adder A B C in ∑ = A.B Y
22. 22. Circuit of Adder A B C in ∑ C out C out = (A B). C in + A.B
23. 23. Verification of Truth Table A B C in ∑ C out A B C in 0 0 0 C out ∑ 0 0
24. 24. Verification of Truth Table A B C in ∑ C out A B C in 0 0 1 C out ∑ 0 1
25. 25. Verification of Truth Table A B C in ∑ C out A B C in 0 1 0 C out ∑ 0 1
26. 26. Verification of Truth Table A B C in ∑ C out A B C in 0 1 1 C out ∑ 1 0
27. 27. Verification of Truth Table A B C in ∑ C out A B C in 1 0 0 C out ∑ 0 1
28. 28. Verification of Truth Table A B C in ∑ C out A B C in 1 0 1 C out ∑ 1 0
29. 29. Verification of Truth Table A B C in ∑ C out A B C in 1 1 0 C out ∑ 1 0
30. 30. Verification of Truth Table A B C in ∑ C out A B C in 1 1 1 C out ∑ 1 1