Question

OD ar Output 0 0 1 0 1 0 O O O 1 0 0 1 1 0 0 1 1 1 1 0 1 1 1 0 1 0 0 1 1 1 Using sum-of-products, what is the representation of the Output in the truth table of the image? (not p and not q and r) or (not p and q and not r) or (not p and q and r) or (p and not q and not r) (not p and not q and not r) or (p and not q and r) or (p and q and not r) or (p and a and r) (not p and not q and not r) or (p and q and r) or (not p and not q and r) or (not p and q and not r) (not p and not q and not r) or (not p and q and r) or (p and not q and r) or (p and a and not r)

Answer 1

The answer is second one;

(not p and not q and not r) or(p and not q and r) or (p and q and not r) or (p and q and r)

For this function the canonical SOP expression is

F = ∑( m0, m5,m6,m7)

Which means that the function is true for the min terms {0,5,6,7}.

F=(not p and not q and not r) or(p and not q and r) or (p and q and not r) or (p and q and r)