MGMT 1030 Chapter Notes - Chapter 6: Decimal Mark
6 May 2018
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MGMT 1030 Chapter 6 Notes – Summary
Introduction
Normalization and Formatting of Floating Point Numbers
• As you are already aware, the computer is actually capable of storing only numbers, no
signs or decimal points.
• We have already handled the decimal point by establishing a fixed, implied point.
• We must also represent the sign of the number in a way that takes this limitation into
account.
• Here are some examples of floating point decimal representations.
• The format used is that shown a sign, two digits of exponent stored excess-50, and five
digits of mantissa.
• The alue is used to represent a + sign
• 5 has een aritrarily hosen to represent a – sign, just as is usually hosen ithin
the computer for the same purpose.
• The base is, of course, 10
• The implied decimal point is at the beginning of the mantissa.
• You should look at these examples carefully to make sure that you understand all the
details of the floating point format.
• The number of digits used will be determined by the desired precision of the numbers.
• To maximize the precision for a given number of digits, numbers will be stored
whenever possible with no leading zeros.
• This means that, when necessary, numbers are shifted left by increasing the exponent
until leading zeros are eliminated.
• This process is called normalization.
• Our standard format, then, will consist of a mantissa of fixed, predetermined size with a
decimal point placed at a fixed, predetermined location.
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