For $3-$state FSM shown here: $(20$ points$)$

a$.$ What is the initial state?

b$.$ How many outputs exist and what are they called?

c$.$ What single input signal controls this state machine?

d$.$ What causes state u to remain in state u $?$

e$.$ What causes state $\backslash ($ t $\backslash )$ to transition to state $\backslash ($ u $\backslash )?$

f$.$ Initially, this state machine sets $\backslash ($ z$=0\backslash ).$ What actions must $($and$/$or must not$)$ occur for $\backslash ($ z $\backslash )$ to $|$ become $1?$ Your description should include any necessary information about signal timing, expressed in clock cycles.

g$.$ If $"$b$"$ represented the power button on a tablet and $"$z$"$ represented the tablet's battery use $(\backslash ($ z$=1=\backslash )$ battery on$/$activated$),$ describe the specific real$-$world behavior defined by this FSM$?$ In other words, how would this tablet turn on$?$ Hint: If you are really stuck on this $($spoiler$),$ you'll find this FSM discussed for a different application in textbook PA$9\mathrm{.}1\mathrm{.}5.$

h$.$ Would you want a tablet with the behavior of the problem above? Why or why not?