B & C please

For b an integer between 2 and 9 (inclusive), we define the set of possible coefficients in a base b expansion as Cb = {x EN 0 1, we define the function v6: Sb + Z+ defined recursively by Basis Step: If x E Cb and x = 0, then vb(x) = x. Recursive Step: If s E Sy and x E Cb, then vb(sx) = bvb(s) + x, where bub(s) is the result of integer multiplication. i. For b = 3, calculate v3(111), including all steps in your calculation and justifying them by the definitions in the previous parts of this question, or explain why this is impossible. ii. For b = 8, calculate v:(0), including all steps in your calculation and justifying them by the definitions in the previous parts of this question, or explain why this is impossible. (c) (Graded for fair effort completeness) Describe in English the rule defining the output of applying vb. Try not to make a literal translation