Contents:

• Overview
• Practice Problems
• Problems to be Submitted

Topic(s): Numeric Representation, Binary and Hexadecimal, Place Value, Converting between Bases, Characters & Strings, and Operations on Data
Related Reading: class notes, and Chapter 2 of Bryant and O'Hallaron

• There are Practice Problems spread throughout Chapter 2 of the textbook.
        The answers are available at the end of Chapter 2 (pp. 134 - 151)

You are allowed to submit your assignment via email, but if you choose to do so, you must bring a hardcopy of your assignment along with a completed cover sheet to the instructor at the next class. (Note: Do not email the instructor any .zip file attachments, as SLU's email may not accept these emails; i.e. the instructor may not receive your email.)

Note: It is important that you show your work for all these numeric conversions. Problems submitted without showing work will be given ZERO CREDIT.

1. (2 points)    Conversion between Binary and Hexadecimal:
      Convert the following numbers directly between hexadecimal and binary without first converting to decimal.
   1. Convert the hexadecimal number 0x1E7BF6 into binary.
   2. Convert the binary number 110101001110100110₂ into hexadecimal.
2. (3 points)    Radix-r to Decimal Conversion:
   1. Convert the binary number 1101101000110₂ into decimal.
   2. Convert the hexadecimal number 0x5B6F into decimal.
   3. Convert the base-7 number 26513₇ into decimal.
3. (4.5 points)    Decimal to Radix-r Conversion:
   1. Convert the decimal number 247 into binary.
   2. Convert the decimal number 2465 into hexadecimal.
   3. Convert the decimal number 207 into base-5.
4. (4.5 points)    Converting Decimal to Signed Representation:
   1. Convert the decimal number -76 into 8-bit signed (two's-complement) representation.
   2. Convert the decimal number 434 into 16-bit signed (two's-complement) representation.
   3. Convert the decimal number -165 into 16-bit signed (two's-complement) representation.
5. (3 points)    Interpreting as Signed vs. Unsigned:
   1. If 10101101₂ is interpreted as an 8-bit signed (two's-complement) number, what is its decimal value?
   2. If 10101101₂ is interpreted as an 8-bit unsigned number, what is its decimal value?
   3. If 10101101₂ is interpreted as a 16-bit signed (two's-complement) number, what is its decimal value?
6. (4 points)    Characters & Strings:
      Wikipedia has a copy of the ASCII table, but you can find plenty of sources via Google, if desired.
   1. What is the string corresponding to the following series of ASCII values:
             0x54 0x68 0x69 0x73 0x20 0x69 0x73 0x20 0x41 0x53 0x43 0x49 0x49 0x21 0x00
      
   2. Convert the string "Billikens rule!" into ASCII.
7. (4 points)    Operations on Data:
      Show the results for the following data operations:
   1.   1101011001111011₂   +   0001011100001011₂
   2.   0x8F3C5   -   0x4BC3
   3.   001100010100₂   |   000111010100₂
   4.   001100010100₂   &   000111010100₂