Transcription of Floating Point Numbers Normalized Floating Point Numbers
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Floating Point Numbers Normalized Floating Point Numbers
Floating Point NumbersFloating Point Numbers are used approximate the real notation is the basis for the Floating Point instance, we can 100= 10 1= 10 2= 102and float the decimal Point by changing the value of the Floating Point NumbersA real numberx, written in scientific notation isnormalized ifit has a single non-zero digit to the left of the instance, 1023are , 10 1024are binary, 2 5is 2 5is 2 5can be Normalized 2 a Number Written in Scientific NotationWrite a numberxin Normalized scientific notation asx= 10eYou must know The leading sign+or ofx.
Floating Point Numbers The numbers that can be written in floating point notation is limited by the size of their representation. For instance, There needs to be 1 bit to encode the sign. If there are 8 bits for the exponent, then there are 28 = 256 different exponents e. If there are 23 bits for the fractional part, then there are 223
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