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′

Acompressor compresses a gas, a pump compresses a liquid. for a given pressure ratio, why does it take more work to compress a gas in a compressor than a liquid in a pump? a)- for a given pressure ratio the average specific volume for a gas is much higher than the average specific volume for a liquid. b)- there is no difference. the only difference is the amount of heat generated (not work) c)- for a given pressure ratio the average volurge for a gas is much higher than the average volume for a liquid. d)-there is no difference