In this post I explain how to construct full adder with the help of half adder . Truth Table:- A B C S1 C1 Sum C2 C...
In this post I explain how to construct full adder with the help of half adder.
Truth Table:-
Sum=A'(B'C+BC')+A(B'C'+BC)
=A'(B⊕C)+A(B⊕C)'
Let x=B⊕C
=A'x+Ax'
=A⊕x
=A⊕B⊕C
Cout=A'BC+AB'C+ABC'+ABC=AB+BC+AC
Truth Table:-
A | B | C | S1 | C1 | Sum | C2 | Cout |
---|---|---|---|---|---|---|---|
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 |
0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 |
0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 |
1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 |
1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 |
1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 |
1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 |
Sum=A'(B'C+BC')+A(B'C'+BC)
=A'(B⊕C)+A(B⊕C)'
Let x=B⊕C
=A'x+Ax'
=A⊕x
=A⊕B⊕C
Cout=A'BC+AB'C+ABC'+ABC=AB+BC+AC
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