Problem $1-$ Filename: HexNoConversion

Write a program that converts a rational value less than one into hexadecimal form. Input from the

keyboard a positive rational $($decimal$)$ number. Assume proper input. Output to the screen the value

converted to hexadecimal using the following rules:

If the conversion includes a repeating decimal, output only one section of the repeating part. For

example, output $\mathrm{.}101101101$dots$16$ as $\mathrm{.}101$

If the converted decimal does not repeat within the first $15$ digits only output the first $10$ digits

Do not output any repeating zeros at the end of a hex value

Do not output the integer part of a number $(0\mathrm{.}8$ verses $\mathrm{.}8)$

Finally, the program should ask if the user wants to run the program again $($Check case$).$ Refer to the

sample output below.

Sample Run:

Enter value: $.65$

Hexadecimal: $.$A$6$

Run again $(\frac{Y}{N})$:$y$

Enter value: $.144$

Hexadecimal: $\mathrm{.}24$DD$2$F$1$A$9$F

Run again $(\frac{Y}{N})$ : N