[SOLVED] Comp 3350: HW # 8. Theme: Integer Arithmetic

Description

1. In the following code sequence, show the value of AL after each shift or rotate instruction has executed. This question is to be done by hand, not programmatically. mov cl, 3

mov al, 45h

01000101
10001010	CF = 0
00010101	CF = 1
00101010	CF = 0

rol al, cl           ;       al = 2Ah

 

 

 

 

mov al, 7Ah

mov cl, 1

01111010
00111101	CF = 0

ror al, Cl           ;       al = 3Dh

 

 

stc

mov al, 64h         mov cl, 2

01100100	CF = 1
11001001	CF = 0
10010010	CF = 1

rcl al, cl           ;       al = 92h

 

 

 

stc

mov al, 3Dh         mov cl, 1

00111101	CF = 1
10011110	CF = 0

rcr al, cl           ;       al =

 

 

2. (a) Write a program that calculates EAX*17₁₀ using binary multiplication.

 

 

• Consider the following value: A24E6C8D. Let this value be stored in register EAX.  Write a program that will extract the decimal digits from this value using shifts and logical instructions.

Place the first two decimal numeric digits in DH and the other two into DL.  Submit a print out of the run of the program and the list file.

 

 

3. (a) What will be the contents of AX and DX after the following operation? You must work this problem by hand, not by a program run.  What may happen if you do not set dx to 0 in the beginning?  mov dx, 0  mov ax, 1234h  mov cx, 4213h  mul cx

 

 

DX = 04B2

AX = C1DC

 

DX may be different value.

 

• When does an IDIV instruction cause an overflow? Provide an example.

 

Mov ax, 4000h

Mov dx, 500h

Mov bx, 10h

Idiv bx

 

OF = 1

 

• What will be the values of DX:AX after the following instructions execute? What might be the use of such a sequence of instructions in a 16-bit computer?

mov ax, 0h  mov dx, 0h  sub ax, 1h

sbb dx, 0

 

DX:AX = FFFF:FFFF

       To subtract numbers larger than 16 bits.

 

4. Implement the following two expressions in assembly language, using 32-bit signed operands. Demonstrate the equivalence of the two using some test values for X and Y.  Show the runs of the programs using both positive and negative test values.  Which of the two implementations is preferable?

Z = X² + 2XY + Y²

Z = (X+Y)²  

 

 

 

The second one is preferable because of less code.

 

5. Write a program that performs C = A – B using extended subtraction. See textbook pg. 270-271.   

Use the following:

Apple       WORD  1214h, 3423h, 6578h, 5699h, 2005h

Berry       WORD  4125h, 2345h, 12BCh, 0CDF1h, 1009h

Cherry      WORD  5dup(0)

Submit the list file and a display of the contents of all the arrays after the run.