I need to calculate logarithm base 2 of number very close to 1. for example

log2(0.9999999999999999999999999999999… The expected result is around 2^-80.

I can't calculate it even with Matlab.

Anyone can help me?

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- Apr 17th 2011, 11:44 PMthehealercalculate logarithm base 2 of number very close to 1
I need to calculate logarithm base 2 of number very close to 1. for example

log2(0.9999999999999999999999999999999… The expected result is around 2^-80.

I can't calculate it even with Matlab.

Anyone can help me? - Apr 17th 2011, 11:57 PMveileen
0.999... - Wikipedia, the free encyclopedia...

$\displaystyle log_2$ 0,(9) = 0 - Apr 18th 2011, 12:44 AMchisigma
Remembering the 'logarithmics series'...

http://quicklatex.com/cache3/ql_3f98...8392081_l3.png (1)

... setting http://quicklatex.com/cache3/ql_9807...7e7fce6_l3.png if http://quicklatex.com/cache3/ql_cd0d...ddc6b5a_l3.png is...

http://quicklatex.com/cache3/ql_d95c...edffbc3_l3.png (2)

Kind regards

$\displaystyle \chi$ $\displaystyle \sigma$ - Apr 18th 2011, 12:45 AMthehealer
thank you