Mips Assembly language $($ Kann CH$7,$ for reference$).$

$2)$In section $7\mathrm{.}8\mathrm{.}3,$ it was said that a branch could access addresses that were $-8191..\mathrm{.}8192$

distance from the current $pc$.$ However, the $2\text{'}$s complement integer has values from

$-8192..\mathrm{.}8191.$

Why the discrepancy between the value of the $2\text{'}$s complement integer and the size of the branch?

In section $7\mathrm{.}8\mathrm{.}3,$ it was said that a branch could access addresses that were $-8191..\mathrm{.}8192$

distance from the current $pc$.$ However, the $2\text{'}$s complement integer has values from

$-8192..\mathrm{.}8191.$

Why the discrepancy between the value of the $2\text{'}$s complement integer and the size of the

branch?

TIP for Question $2$: We are finding the range of addresses we can possibly branch from $PC$.$ The range we get when using two's complement is $-8192$ to $8191$ but the range we can address is shifted by $1(-8191$ to $8192).$ The range has shifted 'forward' by one instruction. Remember we are trying to find an offset$/$branch from our current instruction...what has happened to $PC while we are executing our current instruction?