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)

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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)

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#4626352
把1和0分別帶入ABCD 只有A不符合他...
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#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

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