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Notes for Lab 03 (math lab)
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- Ian! D. Allen - idallen@idallen.ca - www.idallen.com

Class Notes (2008): http://teaching.idallen.com/cst8214/08f/

Class Notes References:
  binary_math.txt     Binary Mathematics, unsigned, two's complement, etc.
  hexadecimal_conversions.txt     Converting to/from hexadecimal (base 16)
  overflow.txt     Calculating the OVERFLOW flag in binary arithmetic

You can check your work using any online converter; use Google to find one.
  e.g.  http://www.tonymarston.net/php-mysql/converter.php

The point of the binary-decimal conversions in Lab 3 is not to show me the
answer.  I already gave you the answer.  The point is to show me that
you have a clear *method* for getting that answer that works for you.

You must show me a clear method that turns the decimal into binary.
The method must work for any unsigned decimal number (or fraction).
Show me your method.

The point of the binary-decimal conversions in Lab 3 is not to show me
that you can do the question backwards and convert the binary back to
decimal by adding up powers of two in the answer.  Your tests and exams
won't have any answers.  I asked you to convert the decimal to binary,
not the other way around.

Calculators are not permitted during the tests and exams.  You will
benefit from knowing the powers of two from 2**(-4) to 2**16.  Of course
you can work them out; however, having at least some of them memorized
will make things go faster for you.

You will also benefit from knowing the bit patterns for the sixteen
hexadecimal digits from 0,...,9,A,...,F  Of course you can work them
out; however, having at least some of them memorized will make things
go faster for you.

Practice:

   Write down any three-digit decimal number (e.g. 314).
   Convert it to binary using your method.
   Check your work on the Internet, using a decimal-to-binary
   conversion web page.  Google search: decimal to binary conversion

Sample conversion site:

    http://acc6.its.brooklyn.cuny.edu/~gurwitz/core5/nav2tool.html

Quiz site:

    http://acc6.its.brooklyn.cuny.edu/~gurwitz/core5/binquiz.html

Subtraction method:

    http://www.is.wayne.edu/olmt/binary/page3.htm