Mod and QuotientRemainder are inconsistent

*To*: mathgroup at smc.vnet.net*Subject*: [mg124837] Mod and QuotientRemainder are inconsistent*From*: Szabolcs <szhorvat at gmail.com>*Date*: Thu, 9 Feb 2012 05:35:54 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Reply-to*: comp.soft-sys.math.mathematica at googlegroups.com

Mod[12, 0.1] gives 0.1 despite 120*0.1 == 12. I expect this is because 0.1 is not representable in binary. QuotientRemainder[12, 0.1] gives {120, 0.} however, which is inconsistent with the result above. Quotient[12,0.1] gives 120 which is also inconsistent with Mod. Is this a bug or is it by design? It seems it is not safe to assume that QuotientRemainder[a,b] == {Quotient[a,b], Mod[a,b]} or that Quotient[a,b]*b + Mod[a,b] == a

**Follow-Ups**:**Re: Mod and QuotientRemainder are inconsistent***From:*Bob Hanlon <hanlonr357@gmail.com>

**Re: Mod and QuotientRemainder are inconsistent***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>