1. Convert 420.13₅ into a number in base 9 and verify your answer by converting the result back to base 5. Limit your precisions (ie, number of digits/bits after the dot) to 7 digits/bits maximum.

2.Convert 321.123₁₅ into a number in base 5, and convert 321.123₅ into a number in base 15.

3.Convert 456.456₁₇ into a number in base 7, and convert 456.456₇ into a number in base 17.