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Something like RealDigits in Sage?

asked 2015-02-21 09:07:06 -0600

logomath gravatar image

updated 2015-02-21 16:36:29 -0600

Is there in Sagemath something like RealDigits in Mathematica for computing (binary) digits of any real number? (and not only for integers)

Can you please also explain how to transform back a non-integer binary string as '100.1000111001001' to the corresponding (approximated) base ten decimal? (not float)

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answered 2015-02-21 11:17:16 -0600

Thorsten gravatar image

updated 2015-02-21 13:21:58 -0600

To get the binary representation just add a .str(base=2) to the approximated value.

 sage:  a = pi + sqrt(2)
 sage:  a.n(digits=10).str(base=2)
 '100.1000111001001001010100001111000010'

For the other direction the method RR is useful. Given as first argument the string and as second the base.

 sage:  s= a.n(digits=60).str(base=2)
 sage:  RR(s,2)
 4.55580621596289
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Asked: 2015-02-21 09:07:06 -0600

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Last updated: Feb 21 '15

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