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Adders
1.
Basic Adders +
2.
What is Adder?
3.
4.
5.
6.
7.
Half adder to
Full adder
8.
Truth Table of
Adder
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.
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.
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.
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.
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.
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.
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.
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.
Circuit of Adder
A B
18.
Circuit of Adder
A B X
19.
Circuit of Adder
A B C in ∑
20.
Circuit of Adder
A B C in ∑ Y
21.
Circuit of Adder
A B C in ∑ = A.B Y
22.
Circuit of Adder
A B C in ∑ C out C out = (A B). C in + A.B
23.
Verification of Truth
Table A B C in ∑ C out A B C in 0 0 0 C out ∑ 0 0
24.
Verification of Truth
Table A B C in ∑ C out A B C in 0 0 1 C out ∑ 0 1
25.
Verification of Truth
Table A B C in ∑ C out A B C in 0 1 0 C out ∑ 0 1
26.
Verification of Truth
Table A B C in ∑ C out A B C in 0 1 1 C out ∑ 1 0
27.
Verification of Truth
Table A B C in ∑ C out A B C in 1 0 0 C out ∑ 0 1
28.
Verification of Truth
Table A B C in ∑ C out A B C in 1 0 1 C out ∑ 1 0
29.
Verification of Truth
Table A B C in ∑ C out A B C in 1 1 0 C out ∑ 1 0
30.
Verification of Truth
Table A B C in ∑ C out A B C in 1 1 1 C out ∑ 1 1
31.
Applications of Adder
THE BCD ADDER
32.
33.
34.
Decimal Digits Decimal
Number BCD Equivalent 0 0000 1 0001 2 0010 3 0011 4 0100 5 0101 6 0110 7 0111 8 1000 9 1001
35.
36.
37.
38.
4-Bit Adder
39.
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