Assuming a microcontroller with an 8-bit data bus and 8-bit ports, here's an example program in x86 assembly language:
```assembly
; Initialize segment registers
mov ax, @data
mov ds, ax
mov es, ax
; Prompt user for input and store in AL
mov ah, 01h ; input function code
int 21h ; interrupt to get character from keyboard
sub al, 30h ; convert ASCII digit to binary number
; Check parity of AL
mov bl, al
xor al, ah ; XOR with high-order bits to set parity flag in AH
shr ah, 1 ; shift parity flag to LSB
; Transfer value to Port 0 based on parity
mov dx, 00h ; select Port 0
cmp ah, 00h ; if even parity
je even
odd:
mov al, 01h ; set output value to 01h
jmp out
even:
mov al, 80h ; set output value to 80h
out:
out dx, al ; transfer output value to Port 0
; Terminate program
mov ah, 4Ch ; exit function code
int 21h ; interrupt to exit program
```
The program starts by setting up the data segment and prompting the user for input. The input character is converted to a binary number and stored in the AL register. The program then uses the XOR instruction to check the parity of AL, storing the result in AH (with a bit shift to move the parity flag to the least significant bit).
Next, the program uses a compare (CMP) instruction to check the parity flag, setting the appropriate output value in AL based on whether the parity is odd or even. Finally, the program selects Port 0 using the DX register, stores the output value in AL, and transfers it to the port using the OUT instruction. The program then terminates with an interrupt call.