Here's an x$86$ assembly program to calculate and display the factorials of numbers from $1$ to $8,$ each in a separate line:

section $.$data

newline db $10$ ; Newline character

result$\_$fmt db "Factorial of $\%$d: $\%$d$",10,0$

section $.$text

global $\_$start

$\_$start:

mov ecx, $1$ ; Initialize loop counter to $1$

calculate$\_$factorials:

push ecx ; Save the loop counter

; Calculate factorial

mov eax, ecx ; Copy the current number to eax

mov ebx, $1$ ; Initialize ebx as the factorial result

factorial$\_$loop:

mul ebx ; Multiply eax by ebx

inc ebx ; Increment ebx

cmp ebx, ecx ; Compare ebx to the current number

jle factorial$\_$loop

; Display the result

push eax

push ecx

mov eax, $4$ ; sys$\_$write

mov ebx, $1$ ; stdout

mov ecx, result$\_$fmt

mov edx, esp ; Address of the format string

sub edx, ecx ; Calculate the length of the format string

int $0$x$80$

add esp, $8$ ; Clean up the stack

; Display a newline

mov eax, $4$

mov ebx, $1$

mov ecx, newline

mov edx, $1$

int $0$x$80$

pop ecx ; Restore the loop counter

inc ecx ; Increment the loop counter

cmp ecx, $9$ ; Compare the loop counter to $8$

jle calculate$\_$factorials

exit:

; Exit the program

mov eax, $1$ ; sys$\_$exit

mov ebx, $0$ ; Return code $0$