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#!N
#!N #!Rtall522 Floating Point
#!N #!N #!N #!F-adobe-times-medium-i-normal--18* Floating-point #!EF numbers are used to represent
the set of real numbers. These numbers encompass both rational and
irrational numbers. By virtue of their 32-bit, IEEE single-precision internal representation,
they lie in the range of +/-3.4028 x 10(38). The smallest
step between values is +/-1.1754 x 10(-38). Like integers, floating-point numbers
can be prefixed by a minus sign ( #!F-adobe-times-bold-r-normal--18* - #!EF
) to represent a negative number. Floating-point numbers can be expressed
in two ways: #!N #!I0 #!N #!N #!I0 #!N #!F-adobe-times-bold-r-normal--18* Standard
representation #!EF #!I50 #!N The #!F-adobe-times-medium-i-normal--18* standard representation #!EF of a
floating-point number consists of a decimal number followed by a decimal
point ( #!F-adobe-times-bold-r-normal--18* . #!EF ), followed by another decimal number.
The first decimal number represents the whole part of the floating-point
number. The second represents the fractional part. Either the first or
the second of the numbers surrounding the decimal point can be
omitted, but not both. If the first is omitted, then the
number is purely fractional. If the second is omitted, then the
number does not contain a fractional part. This second alternative is
useful for representing integer values that lie outside of the range
representable by the integer format. #!N #!N #!I0 #!N #!F-adobe-times-bold-r-normal--18* Scientific
notation #!EF #!I50 #!N #!F-adobe-times-medium-i-normal--18* Scientific notation #!EF is an alternative
means of representing floating-point numbers. A number in scientific notation has
the form #!F-adobe-times-medium-i-normal--18* x #!EF e #!F-adobe-times-medium-i-normal--18* y #!EF (or #!F-adobe-times-medium-i-normal--18*
x #!EF E #!F-adobe-times-medium-i-normal--18* y #!EF ). The number #!F-adobe-times-medium-i-normal--18* x
#!EF can be either a standard floating-point number or a decimal
integer. The number #!F-adobe-times-medium-i-normal--18* y #!EF must be a decimal integer.
It can be prefixed by a minus sign. This scientific notation
is simply shorthand for writing #!F-adobe-times-medium-i-normal--18* x*10(y) #!EF . The effect
of the decimal value #!F-adobe-times-medium-i-normal--18* y #!EF is to specify the
number of places the decimal point should be shifted to the
right, or if #!F-adobe-times-medium-i-normal--18* y #!EF is negative, to the left.
#!I0 #!N #!N #!N #!N The following are examples of valid
floating-point numbers, all of which have the value 95.0: #!N #!N
#!CForestGreen #!N #!F-adobe-courier-bold-r-normal--18* #!N 95. #!N 95.0 #!N 95e0 #!N 9.5E1
#!N 950e-1 #!N 9.50e+1 #!EF #!N #!N #!EC #!N #!N #!N
#!F-adobe-times-medium-i-normal--18* Next Topic #!EF #!N #!N #!Lvecm,dxall523 h Vectors, Matrices, and Tensors #!EL #!N #!F-adobe-times-medium-i-normal--18* #!N
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