MGMT 1030 Chapter Notes - Chapter 17: Scientific Notation
6 May 2018
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MGMT 1030 Chapter 17 Notes – Summary
Introduction
Programming considerations
• 10010 converts to binary 11001002 or 010000101100100 in IEEE 754 form.
• The last step is to divide the original result by this value, using floating point division.
• We will omit this step, as it is both difficult and irrelevant to this discussion.
• Although this method looks more difficult than converting the number directly as a
mixed fraction, it is sometimes easier to implement within the computer.
• The problem with converting floating point numbers expressed in exponential notation
is essentially the same problem
• However, the difficulty is more serious because it looks as though it should be possible
to convert a number, keeping the same exponent, and this is of course not true.
• If you always remember that the exponent actually represents a multiplier of value
• Be where B is the base and e is the actual exponent, then you will be less tempted to
make this mistake.
• Obviously it is incorrect to assume that this multiplier would have the same value for a
different B.
• Instead, it is necessary to follow one of the two solutions just outlined
• Either reduces the exponential notation to a standard mixed fraction and converts each
side separately, or use the value
• Be as a multiplier to be divided in the new base at the end of the conversion.
• You have been exposed to a number of different ways of storing and manipulating
numeric values.
• It should be of interest to you to consider how a programmer might make an intelligent
choice between the many different options available.
• The trade-offs between integer and floating point are clear.
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