Q08

MCQ1 mark, −0.33

Let, $x_{1} ⊕ x_{2} ⊕ x_{3} ⊕ x_{4}= 0$ where $x_{1}, x_{2}, x_{3}, x_{4}$ are Boolean variables, and $⊕$ is the XOR operator. Which one of the following must always be TRUE?

(A)

$x_{1}x_{2}x_{3}x_{4} = 0$

(B)

$x_{1}x_{3} + x_{2} = 0$

(C)

$\bar{x}_{1} ⊕ \bar{x}_{3} = \bar{x}_{2} ⊕ \bar{x}_{4}$

(D)

$x_{1} + x_{2} + x_{3} + x_{4} = 0$

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