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Algebraically prove identities involving the exclusive-OR operation: (a) x ⊕ 0 = x (b) x ⊕ 1 = x′ (c) x ⊕ x = 0 (d) x ⊕ x′ = 1 (e) x ⊕ y = y ⊕ x (f ) (x ⊕ y) ⊕ z = x ⊕ (y ⊕ z) (g) (x ⊕ y)′ = x′ ⊕ y = x
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Algebraically prove identities involving the exclusive-OR operation: (a) x ⊕ 0 = x (b) x ⊕ 1 = x′ (c) x ⊕ x = 0 (d) x ⊕ x′ = 1 (e) x ⊕ y = y ⊕ x (f ) (x ⊕ y) ⊕ z = x ⊕ (y ⊕ z) (g) (x ⊕ y)′ = x′ ⊕ y = x ⊕ y′

User Gellio Gao
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Answer:

Step-by-step explanation:

By Logical Identities formula, the simplifications and prove is as shown in the attached file.

Algebraically prove identities involving the exclusive-OR operation: (a) x ⊕ 0 = x-example-1
Algebraically prove identities involving the exclusive-OR operation: (a) x ⊕ 0 = x-example-2
User DeyyyFF
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