Is there any irrational number in decimal with a rational binary expansion?

glitinosim3
2022-07-01
Answered

Is there any irrational number in decimal with a rational binary expansion?

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wasipewelr

Answered 2022-07-02
Author has **11** answers

No. If a number is rational, then the expansion in any numeral system will repeat, and if it is irrational, then it will not repeat in any system.

prirodnogbk

Answered 2022-07-03
Author has **6** answers

The concept of irrational number is independent of the way we choose of representing them. So, if a number is irrational, its expression in any base will be non-terminating and non-repeating.

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