The next $6$ questions pertain to a general, normalized floating$-$point system G$($B$,$p$,$m$,$M$).$Express answers in terms of B$,$ p$,$ m$,$ and M$,$ as needed. Show your work where needed:

$7.$ What is the largest positive number in G$?$

$8.$ What is the spacing between the numbers of G in the range $[$Be$,$ Be$+1)?$

$9.$ How many numbers of G are there in the interval $[$Be$,$ Be$+1)?$

$10.$ How many positive numbers are there in G$?$

$11.$ What is the largest positive integer in G$?$

$12.$ What is the smallest positive integer not representable by G$?$