MicroProcessor - In a normalised floating point representation, mantissa is represented using 24 bits and exponent wi

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In a normalised floating point representation, mantissa is represented using 24 bits and exponent with 8 bits using signed representation. What is range ?

Total Answers and Comments: 3

Last Update: December 05, 2006

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December 18, 2005 14:50:27

Y.S.V.Sudheer IITR

RE: In a normalised floating point representation, man...

range - max value to + max value.

As in mantissa 1 bit is allocated for sign the max value stored in 23 bits is

(2 power23)-1 .

Similarly In exponent max value stored is ( 2power7)-1

There fore

Range is - ((2 power 23)-1) *(10 power 127) to +- ((2 power 23)-1) *(10 power 127)

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December 05, 2006 00:08:21

sumanyaram

Member Since: December 2006 Contribution: 9

RE: In a normalised floating point representation, man...

mantissa 24 bits exponent 8 bitsfirst consider the exponent range is -128 to +127second consider the mantissa max is all onesso ans is: 24 ones X (2^127) is the max positivenumber -24 ones X (2^127) is the max negative numberwe use negative powers to represent small numbers not negative numbers!

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December 05, 2006 00:10:42

sumanyaram

Member Since: December 2006 Contribution: 9

RE: In a normalised floating point representation, man...

sorry it is +23 onesX(2^127) and -23onesX(2^127)i bit for sign so only 23 bits

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