Write an assembly language program to find the maximum of y = 3x^4 – 10x^2 - 15x
ID: 3674357 • Letter: W
Question
Write an assembly language program to find the maximum of y = 3x^4 – 10x^2 - 15x for the range -4 x 6, by stepping one by one through the range. During each iteration, print out a message stating the current value of x and the corresponding value of y. After all iterations, print out a final message stating the max value of y and the corresponding value of x that generated ymax. If there are multiple values of x that generate ymax, you only need to indicate one of them. Also, make sure to define the values of the coefficients 3, 10 and 15 as constants a1, a2, and a3 – the TA may change these values to further test your code. Try to eliminate as many nop instructions as possible and also try to minimize the length of your code. You may run the program using gdb to verify correctness. Make sure to pay close attention to the requirements above. Output Format: For input of x = -4, output y = 668 For input of x = -3, output y = *** … … For input of x = 6, output y = *** The maximum output value is y = ***, when input x = ***
Explanation / Answer
.model small
.data
a db 09H
b db 02H
.code
mov ax, @data ; Initialize data section
mov ds, ax
mov al, a ; Load number1 in al
mov bl, b ; Load number2 in bl
add al, bl ; add numbers and result in al
mov ch, 02h ; Count of digits to be displayed
mov cl, 04h ; Count to roll by 4 bits
mov bh, al ; Result in reg bh
l2: rol bh, cl ; roll bl so that msb comes to lsb
mov dl, bh ; load dl with data to be displayed
and dl, 0fH ; get only lsb
cmp dl, 09 ; check if digit is 0-9 or letter A-F
jbe l4
add dl, 07 ; if letter add 37H else only add 30H
l4: add dl, 30H
mov ah, 02 ; Function 2 under INT 21H (Display character)
int 21H
dec ch ; Decrement Count
jnz l2
mov ah, 4CH ; Terminate Program
int 21H
end
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