1. What is the lowest number of bits (digits) required in the binary number approximately equal to the decimal number 0.611710 so that the binary number has the same or better precision?
2. (a) Verify that a number in base b can be converted to base b3 by partitioning the digits of the base b number into groups of three consecutive digits starting at the radix point and proceeding both left and right and converting each group into a base b3 digit. (Hint: Represent the base b number using the power series expansion.)
(b) Verify that a number in base b3 can be converted to base b by expanding each digit of the base b3 number into three consecutive digits starting at the radix point and proceeding both left and right.