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If
y
is not a member of the set of ﬂoatingpoint numbers, we say that
x
is
not representable
in
the ﬂoatingpoint number system. This can happen if
x
is too large, which is called overﬂow
error; or if the absolute value of
x
is too small, which is called an underﬂow error.
In
Matlab
, numbers are typically represented in a ﬂoatingpoint representation conforming to a
standard established by the Institute of Electrical and Electronics Engineers (IEEE) in 1985. In
the IEEE
doubleprecision
standard used by
Matlab
, there are 53 bits in the mantissa and 11
bits in the exponent, for a total of 64 bits to represent a scalar number. This provides a range of
values extending from 10
−
308
to 10
308
.A
singleprecision
representation is usually considered to be
a 32bit representation, but this is not supported by
Matlab
.
Two
Matlab
functions,
realmax
and
realmin
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This note was uploaded on 03/07/2010 for the course ENG 101 taught by Professor Chang during the Summer '09 term at 東京国際大学.
 Summer '09
 CHANG
 English

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