Consider an $8-$bit down$-$counter. The operation of the down$-$counter is given in the table. Identify the values of A$,$ B$,$ E$,$ G$,$ and I.

$\backslash$table$[[$Clock$,$Input,Output$],[1,11111111,11111110],[1,11111110,11111110],[1,11111110,00000000]]$

a$.A=0,B=0,E=0,$ and $G=0$

b$.A=0,B=1,E=0,$ and $G=1$

c$.A=1,B=0,E=1,$ and $G=0$

d$.A=1,B=1,E=1,$ and $G=1$