26.假設二元變數 x 與 x’互為補數,則下列何者的邏輯運算結果等於 x?
(A) (x’ AND x’) OR x
(B) x AND (x’ OR x)
(C) (x’ AND x) OR x
(D)x AND (x OR x)
答案:登入後查看
統計: A(29), B(51), C(51), D(47), E(0) #2673169
統計: A(29), B(51), C(51), D(47), E(0) #2673169
詳解 (共 3 筆)
#5205631
依據布林代數的基本定理可以進行作答
(A) (x’ AND x’) OR x
=>(X'.X')=X' (等冪性)
=> X'+X=1
(B) x AND (x’ OR x)
=>(X' + X)= 1 (補數性)
=> X.1 = X
(C) (x’ AND x) OR x
=>(X'.X)=0 (補數性)
=> X + X = X
(D)x AND (x OR x)
=> (X + X) = X (等冪性)
=> X.X = X (等冪性)
4
0
#5380465
(A) (x’ AND x’) = x' ; x' OR x = x'
(B) (x’ OR x) = x' ; x AND x' = x
(C) (x’ AND x) = x ; x OR x = x
(D) (x OR x) = x ; x AND x = x
0
1