CSC231 Homework 2 2010

--D. Thiebaut 20:36, 22 September 2010 (UTC)

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Problem #1

• Design a 4-bit adder.
• Each input bit has the same weight.
• Generate the boolean expressions for the bits that represent the sum of the 4 bits.
• Draw the schematics for the least significant output bit. You do not need to draw the schematics for all the bits, just the least significant one. Make sure you draw accurately the AND, OR, EXOR, or NOT gates. Put the part number inside or next to the gate, and add the pin numbers.
• Either scan, take a picture, or use a drawing/CAD package to create an electronic version of your diagram.
• Create a pdf that will contain all the answers to Problem #1. Call this pdf hw2.pdf, and submit it as follows:

  submit hw2 hw2.pdf

Problem #2

• Complete the table below which shows the equivalent representations of unsigned integers in binary, hexadecimal, and decimal.
• Use as many bits are required.
• You are not allowed to use binary to decimal, or hexadecimal to decimal conversion tools. You can use calculators or computers to do multiplications and additions, though.

Decimal	Hexadecimal	Binary
17	11	00010111
135
1001
	FF
	A01
	FFFF
		1111 1000 1001 1000
		1 1111
		1000 1000 1000 1000 1000 1000 1000 1000

• Store your answers in a file called hw2b.txt and submit it as follows:

   submit hw2 hw2b.txt

Problem #3: Reverse Engineering

• First write a program that contains the following instruction:

               inc      ecx

Figure out how it gets coded in hexadecimal. This instruction adds 1 to the contents of ecx. So if ecx is 7 before the instruction, it will contain 8 after the instruction has finished executing.

• Below is the list of bytes that are loaded in memory when the mystery program you have to reconstruct is executed.

00000000	206D616B657320
00000007	706572666563742E2E-
00000010	2E
00000011	7072616374696365
00000019	627574206E6F626F64-
00000022	79277320
00000026	736F2077687920
0000002D	3F0A0A
00000000	B804000000
00000005	BB01000000
0000000A	B9[11000000]
0000000F	BA08000000
00000014	CD80
00000016	B8FFFFFFFF
0000001B	B804000000
00000020	BB01000000
00000025	B9[07000000]
0000002A	B9[00000000]
0000002F	BA07000000
00000034	CD80
00000036	BA[11000000]
0000003B	B801000000
00000040	B804000000
00000045	BB01000000
0000004A	B9[07000000]
0000004F	BA0A000000
00000054	CD80
00000056	B804000000
0000005B	BB01000000
00000060	B9[19000000]
00000065	BA0D000000
0000006A	CD80
0000006C	B804000000
00000071	BB01000000
00000076	B9[06000000]
0000007B	BA0A000000
00000080	41
00000081	CD80
00000083	B804000000
00000088	BB01000000
0000008D	B9[24000000]
00000092	41
00000093	BA07000000
00000098	41
00000099	CD80
0000009B	B804000000
000000A0	BB01000000
000000A5	B9[11000000]
000000AA	BA08000000
000000AF	CD80
000000B1	B804000000
000000B6	BB01000000
000000BB	B9[2D000000]
000000C0	BA03000000
000000C5	CD80
000000C7	B801000000
000000CC	BB00000000
000000D1	CD80

• Your assignment is to write the original code that corresponds to this series of bytes, exactly, and to write in the header of the program you will submit what the output of the program is.

• Store your assembly program in a file called hw2b.asm and submit it as follows:

   submit hw2 hw2b.asm

• Here is the listing of the opcodes (hexadecimal bytes) that are loaded in memory w