Office Lens 20170830-235323.pdf

# Office Lens 20170830-235323.pdf - IEEE Floating Point...

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Example #10 IEEE Floating Point Representation The format of a 64 -bit (double precision) floating point number ig : sign of fraction 1 bit biased exponent 11 bits fraction 52 bits The value of a double precision number is given by the following formula : s ign (biased _ exponent Ox3 FF) (-1) x 1. fraction x 2 A biased exponent in which all eleven bits are cleared is used to represent zero and denormal numbers, and a biased exponent in which all eleven bits are set is used to represent infinity and not-a-number. The format of a 32 -bit (single precision) floating point number is : sign of fraction 1 bit biased exponent 8 bits fraction 23 bits The value of a single precision number is given by the following formula: s ign (biased _ exponent - Ox 7 F ) (-1) x 1. fraction x 2 A biased exponent in which all eight bits are cleared is used to represent zero and denormal numbers, and a biased exponent in which all eight bits are set is used to represent infinity and not-a-number.
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