CSCI 2321 (Computer Design), Spring 2020:
Homework 2

Credit:

40 points.

Reading

Be sure you have read, or at least skimmed, the assigned readings from Chapter 2 up through 2.7.

Problems

Answer the following questions. You may write out your answers by hand or using a word processor or other program, but please submit hard copy, either in class or in one of my mailboxes (outside my office or in the ASO).

Tips:

• If the assignment asks you to do one or more problems from the textbook, be sure you get them from the edition specified in the syllabus; these sets of problems change from edition to edition.
• If a question requires you to do calculations, please show enough work to help me understand how you got the answer you did, so if you make a mistake I can give partial credit for anything you did get right.
• For some of the problems you're asked to do something that involves converting between hexadecimal (base 16) and binary. Remember(?) that this is a straightforward process for which you don't need a calculator -- each hexadecimal digit represents four binary digits.

1. (5 points) Translate the following line of C into MIPS assembler:

   	B[6] = A[i] + B[j];
   

   assuming that

   • all variables are 32-bit integers,
   • i and j are associated with registers $s1 and $s2, and
   • $s3 and $s4 contain the base addresses of A and B respectively.

2. (5 points) For each of the following MIPS instructions, translate it into machine language, first listing all the fields (e.g., opcode) in binary and then giving the 32-bit instruction in hexadecimal.
   • sub $t0, $s1, $s2

   • addi $s1, $s1, -1

     (We didn't do an example of addi in class, but like lw and sw it's an I-format instruction.)

3. (5 points) Given a machine-language instruction 0x02108020 (0x denotes a base-16 value), what is the corresponding MIPS assembler-language instruction?

4. (5 points) Given the following initial contents for registers $t1 and $t2:

   $t1	0xFFFFFFFF
   $t2	0x12345678

   For each of the following sequences of MIPS instructions, if $t1 and $t2 are as above, what does $t0 contain, in hexadecimal, after it is executed?

   • 	sll     $t0, $t1, 16
     	and     $t0, $t0, $t2
     

   • 	srl     $t0, $t1, 16
     	or      $t0, $t0, $t2
     

   • 	sra     $t0, $t1, 16
     	and     $t0, $t0, $t2
     

   • 	ori     $t0, $t2, 0x00FF
     

     (Assume that the assembler is smart enough to convert 0x00FF to an appropriate 16-bit constant.)

5. (10 points) Translate the following lines of C into MIPS assembler:

   	for (i = 0; i < a; i++)
   	    for (j = 0; j < b; j++)
   	        D[4*i + j] = i + j;
   

   assuming that

   • all variables are 32-bit integers,
   • a, b, i, and j are associated with registers $s1 through $s4, and
   • $s5 contains the base address of D.

6. (10 points) Reverse-compile the following MIPS assembly code into equivalent C (without use of go to), using integer variable i to represent the value in $t1 and integer variable result to represent the value in $s2. (You can use int to represent a 32-bit integer; that's what a “word” is in MIPS. So MemArray is an array of 100 ints.)

   
   

           .text
           addi    $t1, $0, 0
           la      $s0, MemArray
           addi    $s2, $0, 0
   LOOP:   lw      $s1, 0($s0)
           add     $s2, $s2, $s1
           addi    $s0, $s0, 4
           addi    $t1, $t1, 1
           slti    $t2, $t1, 100
           bne     $t2, $0, LOOP
   
           .data
   MemArray: .space 400  # reserve space for 400 bytes, i.e., 100 words
   

Honor Code Statement

Include the Honor Code pledge or just the word “pledged”, plus at least one of the following about collaboration and help (as many as apply).¹Text in italics is explanatory or something for you to fill in. For programming assignments, this should go in the body of the e-mail or in a plain-text file honor-code.txt (no word-processor files please).

• This assignment is entirely my own work. (Here, “entirely my own work” means that it's your own work except for anything you got from the assignment itself -- some programming assignments include “starter code”, for example -- or from the course Web site. In particular, for programming assignments you can copy freely from anything on the “sample programs page”.)
• I worked with names of other students on this assignment.
• I got help with this assignment from source of help -- ACM tutoring, another student in the course, the instructor, etc. (Here, “help” means significant help, beyond a little assistance with tools or compiler errors.)
• I got help from outside source -- a book other than the textbook (give title and author), a Web site (give its URL), etc.. (Here too, you only need to mention significant help -- you don't need to tell me that you looked up an error message on the Web, but if you found an algorithm or a code sketch, tell me about that.)
• I provided help to names of students on this assignment. (And here too, you only need to tell me about significant help.)

Essay

Include a brief essay (a sentence or two is fine, though you can write as much as you like) telling me what about the assignment you found interesting, difficult, or otherwise noteworthy. For programming assignments, it should go in the body of the e-mail or in a plain-text file essay.txt (no word-processor files please).

Footnotes

... apply).¹

Credit where credit is due: I based the wording of this list on a posting to a SIGCSE mailing list. SIGCSE is the ACM's Special Interest Group on CS Education.