ECE 275: Digital Design I
Class 2
F = AB'+C
F = (A(B+C)+D)'
F = (X+Y)'
G = X' * Y'
Does F == G?
X | Y | X+Y | F | X' | Y' | G |
---|---|---|---|---|---|---|
0 | 0 | 0 | 1 | 1 | 1 | 1 |
0 | 1 | 1 | 0 | 1 | 0 | 0 |
1 | 0 | 1 | 0 | 0 | 1 | 0 |
1 | 1 | 1 | 0 | 0 | 0 | 0 |
They are the same!
Can you apply deMorgan's Theorem to ( (A' + B) * C' )'
(X * Y)' where X = (A' + B) and Y = C' (A' + B)' + C AB' + C
Another problem
( (A B' + C) D' + E )' -> (((A' + B) C') + D) E'