MGMT 1030 Chapter Notes - Chapter 8: Scientific Notation, Decimal Mark

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MGMT 1030 Chapter 8 Notes Summary
Introduction
Since the number is already normalized (no leading zeros), there is no adjustment
required.
There are seven digits, so we drop the two least significant digits, and the final
exponential representation is 0.24680 × 103 5.
The exponent is 3, which in excess-50 notation is represented as 53.
If e represet a + sig ith the digit , ad a – sig ith the digit 
This choice is totally arbitrary, but we needed to select some digits since the sign itself
cannot be stored
The final stored result becomes the sign 05324680 the mantissa excess-50 exponent.
Assume that the number to be converted is  × − .
The number is already in exponential form.
We must shift the decimal to the left four places, so the number becomes 0.1255 × 10+1
The positie expoet results fro addig  to the origial − expoet.
The number is normalized, so no additional adjustment is required.
A zero is added to provide five digits of precision.
The final result in exponential form is 0.12550 × 101 5.
The exponent in excess-50 notation becomes 51, and the result in word format is
05112550
Assume that the uer to e oerted is −. .
Coertig to expoetial otatio, e hae −. ×  .
The decimal point is already in its correct position, so no modification is necessary.
Noralizig, the uer eoes −. × − .
And the fial expoetial result, −. × − .
In our word format, this becomes 54475000.
Although the technique is simple and straightforward, it will still require some practice
for you to feel comfortable with it.
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