Use the following information to answer the next seven questions:

Given a normalized floating$-$point number system $($i$.$e$.,$ no subnormal numbers$),$ F$,$ defined by the parameters B $=3,$ p $=3,$ m $=-2,$ and M $=4$:

$($Report all your answers in base $10$; round to the fourth digit after the decimal point if necessary$)$

What is the smallest positive number of the given system? $($Report you answer to the fourth digit after the decimal point.$)$

What is the largest positive number of the given system?

What is the machine epsilon $(\backslash$epsi $)$ of the given system? $($Report your answer to the fourth place after the decimal point.$)$

For the given system, how many numbers are there in the range $[3^$e$,3^$e$+1),$ for some valid exponent, e$?$

What is the spacing between floating$-$point numbers in the range $[3^-1,1)?($Report your answer to the fourth place after the decimal point.$)$

How many positive numbers are there in F altogether?

What is the smallest positive integer not in F$?$