A memory map for a system with a $16-$bit address bus is initially planned as:

$0$xC$000-0$xFFFF Region $1$

$0$xA$000-0$xBFFF unused

$0$x$8000-0$x$9$FFF Region $2$

$0$x$4000-0$x$7$FFF unused

$0$x$0000-0$x$3$FFF Region $3$

The unused addresses surrounding Region $2$ potentially offer an opportunity to used lazy address decoding to simplify the logic for Region $2.$ If address bit $13$ is treated as a "don't care", what would be the new address range for Region $2?$

Group of answer choices

$0$x$8000-0$xBFFF

$0$x$8000-0$xAFFF

$0$x$6000-0$x$9$FFF

$0$x$7000-0$x$9$FFF