A. Find the base (radix) R of the number 945R , which has the value 333010 in base-10 (decimal). Show all steps leading to your results. This problem illustrates some of the difficulties associated with conversion from one base to another. In this case, avoid brute force approaches and try the Quadratic Equation to solve this. Does the same approach work with the problem of converting the number 1111R , which has the value 40010 in base-10 (decimal)? (Try a solution to a cubic polynomial).

B. Express the real decimal numbers 0.1875 and 0.70 in binary, octal and hexadecimal forms. Show all steps leading to your results.

C. Express the decimal number 7295 in Binary Coded Decimal (BCD) form, and in hexadecimal form. Show all steps leading to your results.

D. Using a 16-bit representation of unsigned integer values, state and justify what are the maximum permitted values using base-2 (binary), base-8 (octal), base-16 (hexadecimal) and also using Binary Coded Decimal (BCD) representations. Explain briefly why the maximum value for BCD is smaller than that for the other representations.