Algebraically prove identities involving the exclusive-OR
Chapter 3, Problem 3.18(choose chapter or problem)
Algebraically prove identities involving the exclusive-OR operation:
(a) \(x \oplus 0=x\)
(b) \(x \oplus 1=x^{\prime}\)
(c) \(x \oplus x=0\)
(d) \(x \oplus x^{\prime}=1\)
(e) \(x \oplus y=y \oplus x\)
(f) \((x \oplus y) \oplus z=x \oplus(y \oplus z)\)
(g) \((x \oplus y)^{\prime}=x^{\prime} \oplus y=x \oplus y^{\prime}\)
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