▁intermediate ▁values ▁stored ▁in ▁digital ▁computers , ▁it ▁often ▁means ▁the ▁binary ▁numer al ▁system ▁( ▁is ▁an ▁integer ▁times ▁a ▁power ▁of ▁ 2 ). ▁ ▁The ▁abstract ▁single - argument ▁" round ()" ▁function ▁that ▁returns ▁an ▁integer ▁from ▁an ▁arbitrary ▁real ▁value ▁has ▁at ▁least ▁a ▁dozen ▁distinct ▁concrete ▁definitions ▁presented ▁in ▁the ▁round ing ▁to ▁integer ▁section . ▁The ▁abstract ▁two - argument ▁" round To Multi ple ()" ▁function ▁is ▁formally ▁defined ▁here , ▁but ▁in ▁many ▁cases ▁it ▁is ▁used ▁with ▁the ▁implicit ▁value ▁  =   1 ▁for ▁the ▁increment ▁and ▁then ▁reduces ▁to ▁the ▁equivalent ▁abstract ▁single - argument ▁function , ▁with ▁also ▁the ▁same ▁dozen ▁distinct ▁concrete ▁definitions . ▁ ▁Log arith mic ▁round ing ▁ ▁R ounding ▁to ▁a ▁specified ▁power ▁R ounding ▁to ▁a ▁specified ▁power ▁is ▁very ▁different ▁from ▁round ing ▁to ▁a ▁specified ▁multiple ; ▁for ▁example , ▁it ▁is ▁common ▁in ▁computing ▁to ▁need ▁to ▁round ▁a ▁number ▁to ▁a ▁whole ▁power ▁of ▁ 2 . ▁The ▁steps , ▁in ▁general , ▁to ▁round ▁a ▁positive ▁number ▁ ▁to ▁a ▁power ▁of ▁some ▁specified ▁integer ▁ ▁greater ▁than ▁ 1 , ▁are : ▁ ▁Many ▁of ▁the ▁cave ats ▁applicable ▁to ▁round ing ▁to ▁a ▁multiple ▁are ▁applicable ▁to ▁round ing ▁to ▁a ▁power . ▁ ▁Sc aled ▁round ing ▁This ▁type ▁of ▁round ing , ▁which ▁is ▁also ▁named ▁round ing ▁to ▁a ▁log arith mic ▁scale , ▁is ▁a ▁variant ▁of ▁round ing ▁to ▁a ▁specified ▁power