Bianry to polynomial conversion

[Rubik]

How do you convert binary into polynomial form? I understand hexadecial conversion so {4e} = 01001000 now how do I go about changing that into a polynomial?

 

[eumyang]

When you're talking about polynomials, you're referring to polynomials over GF(2)? If so, isn't it just a matter of assigning each bit as a coefficient of a power of x (or whatever variable)? For instance,
$$D_{16} = 1101_2 = x^3 + x^2 + 1$$
?
(Assuming the binary number was written MS bit-first.)

 

[HallsofIvy]

How do you convert binary into polynomial form? I understand hexadecial conversion so {4e} = 01001000 now how do I go about changing that into a polynomial?

Numbers are NOT polynomials so you don't- not without saying exactly how you are associating each number with a specific polynomial as eumyang says.

 

[Ivan92]

Are you talking about binary representations of floating-points?