If a⊕ b=a^3-b, and c=101010101010101010 is an 18-digit number, what is c⊕ (c ⊕ c) ?

101010101010101010

Step-by-step explanation:

given the binary operation a⊕ b=a^3-b and c = 101010101010101010

To get the value of c⊕ (c ⊕ c), we will express the binary given as that in question as shown;

c⊕ (c ⊕ c) = c³ - (c ⊕ c)

c⊕ (c ⊕ c) = c³ - (c³-c)

On expansion;

c⊕ (c ⊕ c) = c³-c³+c

c⊕ (c ⊕ c) = c

since c = 101010101010101010

c⊕ (c ⊕ c) = 101010101010101010