An-n-digit-decimal-number-has-been-conveerted-into-octal-number-Say-it-has-m-digits-What-are-possible-minimum-and-maximum-values-of-m-in-terms-of-n-

Question Number 35072 by Rasheed.Sindhi last updated on 15/May/18

An n - digit decimal number has been

conveerted into octal number . Say it

has m digits . What are possible minimum

and maximum values of m in terms of

n ?

Commented by candre last updated on 15/May/18

m i n \Rightarrow n u m = 10^{n - 1}

m i n = ⌊ \log_{8} (10^{n - 1}) ⌋ + 1 = ⌊ (n - 1) \log_{8} 10 ⌋ + 1

m a x \Rightarrow n u m = 10^{n} - 1

m a x = ⌊ \log_{8} (10^{n} - 1) ⌋ + 1

Commented by Rasheed.Sindhi last updated on 15/May/18

T h α n k S a l o t S i r!