Re: Puzzled by IntegerPart
- To: mathgroup at smc.vnet.net
- Subject: [mg114610] Re: Puzzled by IntegerPart
- From: Ray Koopman <koopman at sfu.ca>
- Date: Fri, 10 Dec 2010 02:29:58 -0500 (EST)
- References: <idqcsa$ivb$1@smc.vnet.net>
On Dec 9, 3:00 am, Themis Matsoukas <tmatsou... at me.com> wrote:
> IntegerPart[100*1.15]
>
> 114
>
> ???
>
> Themis
The machine representation of 100*1.15 is < 115.
realbits = MapAt[StringJoin[ToString/@#]&,RealDigits[#,2,53],1]&;
realbits[115.]
realbits[100*1.15]
realbits[114.]
{11100110000000000000000000000000000000000000000000000,7}
{11100101111111111111111111111111111111111111111111111,7}
{11100100000000000000000000000000000000000000000000000,7}