Wikipedia:Reference desk/Archives/Mathematics/2021 June 23

= June 23 =

Normal number to the base 2?
Beside the absoluty Normal Number, is there a normal number with base 2. So a binary normal number with 0,010101.. and so on.--2.200.60.148 (talk) 10:43, 23 June 2021 (UTC)
 * Why did you write the decimal point as a comma?? Georgia guy (talk) 10:52, 23 June 2021 (UTC)
 * Cause I'm German and there, its the usual notation. Sorry for that! — Preceding unsigned comment added by 2.200.60.148 (talk) 11:05, 23 June 2021 (UTC)


 * The construction given for the Champernowne constant works for all bases. See also and .  --Lambiam 12:50, 23 June 2021 (UTC)
 * Almost every real is normal in base 2.--Antendren (talk) 23:59, 23 June 2021 (UTC)
 * Also, 0.010101.. and so on ($1/3$ in base 2) is definitely not normal: the sequence "11" does not occur. --Lambiam 10:29, 24 June 2021 (UTC)
 * In this cause, the Champernowne constant would be a absolut normal number.  — Preceding unsigned comment added by 178.10.4.26 (talk) 14:19, 24 June 2021 (UTC)
 * (a) The Champernowne constant for which base? (For base 2, it equals 0.862240..., and for base 3, it equals 0.598958..., so the base makes a difference.) (b) How do you know (aka [])? --Lambiam 14:58, 24 June 2021 (UTC)