Exercises II / 5.1
  1. What is the current year (date) expressed in Roman numerals?
    U.S. Dollar Bill back / Exercise #2
  2. What year, expressed in Hindu-Arabic numerals, appears on the back of the U.S. one-dollar bill (at the base of the pyramid)?

     
  3. Write "one million" using the indicated numeration form:
    1. Roman numerals
    2. Binary numerals
    3. Hexadecimal numerals

     
  4. What is the current year (date) expressed in binary?

     
  5. A kilobyte (KB) is actually 1024 bytes, a megabyte (MB) is actually 1024 KB, and a gigabyte (GB) is actually 1024 MB.
    1. What power of 2 is equal to 1024?
    2. How many bytes are there in 1 MB?
    3. What power of 2 represents the number of bytes in 1 MB?
    4. How many bytes are there in 1 GB?
    5. What power of 2 represents the number of bytes in 1 GB?

     
  6. The illustration below shows information about a hard-drive from a Windows-based PC...
    Harddrive C: properties / Exercise #6
    Using the information above, determine each of the following.  Round the answers to the nearest tenth. 
    1. How many GB have been used?
    2. How many GB have not been used (remain free)?
    3. How many GB is the total size (capacity)?

     
  7. To connect to the Internet, some PC's use Dial-Up Networking via a device known as a "phone modem."
    Windows modem info / Exercise #7
    Shown, in the illustration above, is the bandwidth (transfer speed) of 56,000 bits per second (bps) for one type of modem.  What is the modem's bandwidth expressed in kilobytes per second? Round the answer to the nearest tenth of a KB/sec.  (hint: there are 8 bits in one Byte)

     
  8. What "special" number is represented in the illustration below?
    Binary PI / Exercise #9 (link: Pi with 32K binary digits)

     
  9. What is the current year (date) expressed in hexadecimal? A.Einstein photo / Exercise #10 (link: Einstein Online)


     
  10. Albert Einstein was born on March 14, 1879; a date which can be written (in the traditional mm/dd/yyyy format) as 03/14/1879.  Write his birthdate as a series of three hexadecimal numbers expressed in this traditional "month/day/year" format.

     

  11.  
    FDR postage stamp / Exercise #11 (link: FDR Library & Museum) U.S. (32nd) President Franklin Delano Roosevelt USS Arizona Memorial photo / Exercise #11 (link: Pearl-Harbor.us website)(FDR) declared the Sunday that Pearl Harbor was attacked during WWII as a "date that will live in infamy."  Write this date as a series of three hexadecimal numbers expressed in the traditional "month/day/year" format.
  12. Write the hexadecimal number representing "one billion."
     
Solutions — Exercises II / 5.1
  1. MMVI

     
  2. 1776

     
  3.  
    1. M
    2. 1111 0100 0010 0100 0000
    3. F4240
  4. 111 1101 0110

     
  5.  
    1. tenth (i.e., 210)
    2. 1,048,576 B 
    3. twentieth (i.e., 220)
    4. 1,073,741,824 B 
    5. thirtieth (i.e., 230)

  6. Harddrive C: properties
     
  7. 6.8 KB/sec

     
  8. π  ~  3.14159...

     
  9. 7D6

     
  10. 3/E/757

     
  11. C/7/795

     
  12. 3B9A CA00