▁odd ▁A ▁similar ▁tie - bre aking ▁rule ▁is ▁round ▁half ▁to ▁odd . ▁In ▁this ▁approach , ▁if ▁the ▁fraction ▁of ▁ ▁is ▁ 0 . 5 , ▁then ▁ ▁is ▁the ▁odd ▁integer ▁nearest ▁to ▁. ▁Thus , ▁for ▁example , ▁+ 2 3 . 5 ▁becomes ▁+ 2 3 , ▁as ▁does ▁+ 2 2 . 5 ; ▁while ▁− 2 3 . 5 ▁becomes ▁− 2 3 , ▁as ▁does ▁− 2 2 . 5 . ▁ ▁This ▁method ▁is ▁also ▁free ▁from ▁positive / negative ▁bias ▁and ▁bias ▁toward / away ▁from ▁zero . ▁ ▁This ▁variant ▁is ▁almost ▁never ▁used ▁in ▁comput ations , ▁except ▁in ▁situations ▁where ▁one ▁wants ▁to ▁avoid ▁increasing ▁the ▁scale ▁of ▁floating - point ▁numbers , ▁which ▁have ▁a ▁limited ▁exponent ▁range . ▁With ▁round ▁half ▁to ▁even , ▁a ▁non - in finite ▁number ▁would ▁round ▁to ▁infinity , ▁and ▁a ▁small ▁ ▁value ▁would ▁round ▁to ▁a ▁normal ▁non - zero ▁value . ▁Effect ively , ▁this ▁mode ▁pre fers ▁pres erving ▁the ▁existing ▁scale ▁of ▁tie ▁numbers , ▁avoid ing ▁out - of - range ▁results ▁when ▁possible ▁for ▁numer al ▁systems ▁of ▁even ▁rad ix ▁( such ▁as ▁binary ▁and ▁decimal ). ▁ ▁Random ized ▁round ing ▁to ▁an ▁integer ▁ ▁Altern ating ▁tie - bre aking ▁One ▁method , ▁more ▁obsc ure ▁than ▁most , ▁is ▁to ▁alternate ▁direction ▁when ▁round ing ▁a ▁number ▁with ▁ 0 . 5 ▁fraction al ▁part . ▁All ▁others ▁are ▁rounded