Given that the stack segment register is SS$=3000$H$,$ the stack pointer register contains $000$AH$,$ the memory locations of physical address $3000$AH and $23000$BH contain $19$H $($The Last Data$)$ and $3$EH respectively. The memory locations of physical address $3408$CH and $3408$DH contain $43$H and $12$H respectively. Find the following :

a$)$ Physical address of the bottom of the stack, and the physical address of the top of the stack. b$)$ Calculate the new values of SP$,$ AX and BX after the following code is executed.

$1$ POP AX $2$ POP BX