Re: Converting decimal to/from IEEE hex format
- To: mathgroup at smc.vnet.net
- Subject: [mg71237] Re: Converting decimal to/from IEEE hex format
- From: "Ray Koopman" <koopman at sfu.ca>
- Date: Sat, 11 Nov 2006 03:38:55 -0500 (EST)
- References: <ej1pgr$ds0$1@smc.vnet.net>
Robert wrote:
> Can anyone tell me how to convert a number to/from the corresponding
> IEEE hex floating-point representation in either 32 or 64 bits in
> Mathematica? For
> example, I would want to convert 1.0 into 3F800000 (32-bit) or
> 3FF0000000000000 (64-bit), and vice-versa. (When converting from
> decimal to hex, if the number is not exactly representable, I would
> want the nearest floating-point number.) Thanks, Robert
In[1]:=
ieee64[x_] := StringJoin[ StringTake["0123456789ABCDEF",{#+1}]& /@
Join[IntegerDigits[2048*Boole@Negative@x+1022+#[[2]],16,3],
FromDigits[#,2]&/@Partition[Rest@#[[1]],4]]& @ RealDigits[N@x,2,53] ]
In[2]:= ieee64[-1.75]
Out[2]= BFFC000000000000