A new binary operation ! in a Boolean algebra (exclusive OR) is defined by x ! y = x # y

Chapter 8, Problem 15

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A new binary operation ! in a Boolean algebra (exclusive OR) is defined by x ! y = x # y + y # x Prove that a. x ! y = y ! x b. x ! x = 0 c. 0 ! x = x d. 1 ! x = x

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