Determine the result of the following operations in hexadecimal as well as the status $($clear$/0,$ set$/1$ or not$-$affected$/$NA$)$ of the $H($Half Carry$),$ N $($Negative$),$ Z $($Zero$)$ and C $($Carry$)$ flags in the status register $($SREG$)$ after the each of the operations. Assume the operations are correctly implemented with the AVR Assembly instruction noted on the ATmega$328$PB$.$ Show your work clearly by hand, and then feel free to check your answer by using the AVR simulator$/$debugger in Microchip Studio.

$($a$)$ ADD: $043+0BD$

$($b$)$ SUB: $0x6A-073$

$($c$)$ DEC: $001-0$x$01$

$($d$)$ AND: $0$xA$5$ & $0$x$84$

$($e$)$ SUB: $023-014$