【牛奶】評論

(A) X+Y．Z=(X+Y)．(X+Z)且 X．(Y+Z)=X．Y+X．Z分配律(B)X+Y=Y+X 且 X．Y=Y．X交換律(C)X+X．Y=X 且 X．(X+Y)=X消去律(D)(X+Y)'=X'．Y'且(X∙Y)'=X'+Y'迪摩根定律

【曾演尚】評論

根據De Morgan's laws：非（  p且 q ）等價於（ 非 p ）或（ 非 q ）非（  p 或 q ）等價於（ 非 p ）且（ 非 q ）證明：not(p and q)= not(1 and 1)= not(1)= 0          , not(0 and 1)= not(0)= 1          , not(1 and 0)= not(0)= 1           , not(0 and 0)= not(0)= 1not(p) or not(q)= not(1) or not(1)= 0 or 0= 0          , not(0) or not(1)= 1 or 0= 1           , not(1) or not(0)= 0 or 1= 1           , not(0) or not(0)= 1 or 1= 1-> not(p and q)= not(p) or not(q)not(p or q)= not(1 or 1)= not(1)= 0, not(0 or 1)= not(1)= 0, not(1 or 0)= not(1)= 0, not(0 or 0) not(0)= 1not(p) and not(q)= not(1) and not(1)= 0 and 0= 0      , not(0) and not(1)= 1 and 0= 0      , not(1) and not(0)= 0 and 1= 0     , not(0) and not(0)= 1 and 1= 1-> not(p or q)= not(p) and not(q)(D) (X+Y)'=X'．Y'且(X∙Y)'=X'+Y'-> not(X or Y)=  not(X) and not(Y) 且 not(X and Y)= not(X) or not(Y)