Floating point number multiplication exponent range and explanation
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Floating Point Numbers
Real Numbers: pi = 3.14159265... e = 2.71828...
Scientific Notation: has a single digit to the left of the decimal point.
A number in Scientific Notation with no leading 0s is called a Normalised Number: 1.0 × 10-8
Not in normalised form: 0.1 × 10-7 or 10.0 × 10-9
Can also represent binary numbers in scientific notation: 1.0 × 2-3
Computer arithmetic that supports such numbers is called Floating Point.
The form is 1.xxxx… × 2yy…
Using normalised scientific notation
Simplifies the exchange of data that includes floating-point numbers
Simplifies the arithmetic algorithms to know that the numbers will always be in this form
Increases the accuracy of the numbers that can be stored in a word, since each unnecessary leading 0 is replaced by another significant digit to the right of the decimal point
Hope this helps...
Floating Point Numbers
Real Numbers: pi = 3.14159265... e = 2.71828...
Scientific Notation: has a single digit to the left of the decimal point.
A number in Scientific Notation with no leading 0s is called a Normalised Number: 1.0 × 10-8
Not in normalised form: 0.1 × 10-7 or 10.0 × 10-9
Can also represent binary numbers in scientific notation: 1.0 × 2-3
Computer arithmetic that supports such numbers is called Floating Point.
The form is 1.xxxx… × 2yy…
Using normalised scientific notation
Simplifies the exchange of data that includes floating-point numbers
Simplifies the arithmetic algorithms to know that the numbers will always be in this form
Increases the accuracy of the numbers that can be stored in a word, since each unnecessary leading 0 is replaced by another significant digit to the right of the decimal point
Hope this helps...
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