stopping matlab from re-formating my numbers!!!

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>> x = 110.01001
x =
110.0100
>> z = num2str(x)
z =
110.01
>> w = z-'0'
w =
1 1 0 -2 0 1
This is what happens when I try convert my input value "x" to a vector "w". Matlab deletes the last 3 numbers from my binary number 110.01001. I am trying to create a function that converts from binary to decimal and this obviously screws everything up. How can I stop matlab from doing cutting off my numbers?????????
  1. so aggravating
  1 Comment
Jan
Jan on 8 Sep 2013
Does "w = z-'0" explain any useful detail here? If so, which one?

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Answers (3)

Jan
Jan on 8 Sep 2013
There is no general method, which converts between binary and decimal numbers 100% accurately. Many decimal numbers do not have an exact representation in binary format with a limited number of bits, and the other way around. A very common example is:
0.3 - 0.2 - 0.1
This does not produce 0.0 due to the limited precision.
So your problem, that the default format of num2str cuts off the digits you want to include, cannot be solved by choosing another format. You have to decide, if you want to treat 2.999999999999999 as 3.0 or not.

Azzi Abdelmalek
Azzi Abdelmalek on 7 Sep 2013
x = 110.01001
a=sprintf('%.5f',x)
  2 Comments
Nicholas
Nicholas on 7 Sep 2013
I need this to work for any binary number, I believe this will work for only this example right??
Azzi Abdelmalek
Azzi Abdelmalek on 7 Sep 2013
If you do not specify the number of decimals, you can not get it work. Because 1.000 % or 1.00000 are equal to 1

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Jan
Jan on 7 Sep 2013
Use the format argument when calling num2str
e.g.
z = num2str( x, '%4.10f' )
if you want 10 (ten, not three ;) ) decimals. Look into num2str's helpfile for more information on number formatting.

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