Find the radix b such that

a.123_b = 456₇

b. 54_b/4_b = 13_b

c. 24_b + 17_b = 40_b

2. What is the base of the numbers for the following operation to be correct? 65/5 = 24.

3. Convert E0A.E0A₁₅ into a number in base 5, and convert E0A.E0A₅ into a number in base 15.

4.Convert A2C.13₁₄ into a number in base 6 and verify your answer by converting the result back to base 14. Limit your precisions (ie, number of digits/bits after the dot) to 7 digits/bits maximum.

5.Convert the number pi to hexadecimal, to octal, and to binary.

6.Convert 13.57₈ into a number in base 12 and verify your answer by converting the result back to base 8. Limit your precisions (ie, number of digits/bits after the dot) to 7 digits/bits maximum.

7. 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.

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

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