6. Let a be a number written (in base 10) as ao 10⁰+ a₁ 10¹ + a₂. 10²+...+an. 10" where 0 ≤a < 10. (i) Prove that 2 divides a if and only if 2 divides ao. (ii) Prove that 4 divides a if and only if 4 divides ao + 2a1.

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