3. [25 marks] Fractional Numbers and Blackboard Notation. Infinite binary expansions of rational numbers are either pure recurring or mixed recurring depending on whether the cycle starts immediately after the point. a) [math] Show the infinite binary expansion of 1/9. b) [math] Represent this infinite binary expansion in hexadecimal. c) [math] Show the infinite binary expansion of 4/9. Don't change the cycle. d) [math] Represent this infinite binary expansion in hexadecimal. e) Show the normalized blackboard floating-point notation that best approximates 3 4/9. The fractional field is 16 bits. Show all 16 of them. Now, show just the 16-bit (4-hexit) fractional field, after normalization, in hexadecimal