File: hw2.txt
Due date: Before 11:59pm Tuesday January 15
Grading: 10 Points total.
To do: Answer the following questions.

(1) What is your name?

(2) Did you work with anyone else on this hw?  Note - this includes
/anyone/ other than Jeff (e.g., your cousin, the GA in the tutoring lab, 
a classmate, ...).  List anyone who you talked to about it, or worked together.


(3) Convert the following binary numbers to decimal.  Show your work.  Feel
    free to check your answers (e.g., using Wolfram Alpha).  If you don't 
    show your work, you don't get any credit.
a) 1001
b) 10000000
c) 10011001


(4) What is the largest number that can be represented by the following 
    number of bits?  Explain how you got your answer, or show your work as 
    you do it.  
    Hint: for each one, what is the value of the binary number with that many
    bits, and with all bits set to 1?
    Hint: for 16 and 32 bits, use the formula for a geometric sum.
a) 8 bits
b) 16 bits
c) 32 bits


(5) Convert the following decimal numbers to binary.  Show your work.  Again,
    feel free to check your answers, but you must show your work to get 
    credit.
a) 151
b) 6501


(6) Using the assembler program that was shown in class, write an assembly
    language program to add up the numbers 777, 888, and 999.  The program
    should compute the sum and print the result.

    Save your program as hw2_add.151asm, and upload/save it along with your
    hw2.txt file.  It is a text file, so you can use Notepad or Emacs to 
    create/edit the file.

    You should test your assembly program to make sure it is correct.  You can
    do that by logging into putty and running 
       assembler hw2_add.151asm
    and also
       assembler hw2_add.151asm step
    after you have created your hw2_add.151asm file.

    Note that you can take the average.151asm file as a starting point for 
    your program, and just make changes to that.


Extra credit, worth at most 2 points extra.

(7) 
a) Using the assembler program that was shown in class, write an assembly
   language program to compute 10! = 10*9*8*7*6*5*4*3*2*1.  Save the program
   as hw2_factorial.151asm.

b) Using the assembler program that was shown in class, write an assembly 
   language program to compute 1 + 2 + 2^2 + 2^3 + ... 2^15.  Save the 
   program as hw2_geometricsum.151asm.