Editing Rounding (section)

====Rounding half to odd====
One may also '''round half to odd''', a similar tie-breaking rule to round half to even. In this approach, if the fractional part of {{mvar|x}} is 0.5, then {{mvar|y}} is the odd integer nearest to {{mvar|x}}. Thus, for example, 23.5 becomes 23, as does 22.5; while −23.5 becomes −23, as does −22.5.

This method is also free from positive/negative bias and bias toward/away from zero, provided the numbers to be rounded are neither mostly even nor mostly odd.  It also shares the round half to even property of distorting the original distribution, as it increases the probability of odds relative to evens. It was the method used for bank balances in the [[United Kingdom]] when it decimalized its currency<ref>Schedule 1 of the Decimal Currency Act 1969</ref>{{clarify|reason=Needs a complete reference.|date=May 2023}}.

This variant is almost never used in computations, 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-infinite number would round to infinity, and a small {{em|[[denormal]]}} value would round to a normal non-zero value. Effectively, this mode prefers preserving the existing scale of tie numbers, avoiding out-of-range results when possible for numeral systems of even [[radix]] (such as binary and decimal).{{clarify|reason=The ''problem'' would be avoided only for halfway numbers. So, how can this be useful in practice? Any practical example?|post-text=(see [[Talk:Rounding#Round half to odd|talk]])|date=September 2017}}.