Q14

MSQ1 mark

Let $X$ be a $3$ -variable Boolean function that produces output as $'1'$ when at least two of the input variables are $'1'$ . Which of the following statement(s) is/are CORRECT, where $a, b, c, d, e$ are Boolean variables?

(A)

$X(a, b, X(c, d, e))=X(X(a, b, c), d, e)$

(B)

$X(a, b, X(a, b, c))=X(a, b, c)$

(C)

$X(a, b, X(a, c, d))=(X(a, b, a)$ AND $X(c, d, c))$

(D)

$X(a, b, c)=X(a, X(a, b, c), X(a, c, c))$

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