Matlab fractions into binary fractions help

I know the binary code for the number 13.6094 is 1101.1001110 and I've created 2 functions that can convert the integer part of the number (13) to binary as well as the fractional part (0.6094). The output for the integer part is the vector [1 1 0 1] and the fractional part is [1 0 0 1 1 0]. I now want to know how I can take these vectors and combine them with a decimal point so the code will output 1101.1001110

Answer 1

[Walter Roberson]

No, unless you mean as a string. Or unless you want to design a custom MATLAB class that has its own display format.

Answer 2

[dpb]

>> i=[1 1 0 1]; f=[1 0 0 1 1 0];
>> sprintf([repmat('%d',1,length(i)) '.' repmat('%d',1,length(i))],i,f)
ans =
1101.100110
>>

or,

>> [sprintf('%d',i) '.' sprintf('%d',f)]
ans =
1101.100110
>>

instead of building counted format string.

ADDENDUM

Using a lookup table is probably fastest...

>> c=['0' '1' '.'];    % the characters to be output
>> [c(i+1) '.' c(f+1)] % would be nice to be able to have 0-based arrays...
ans =
1101.100110

or, build the full number first--

>> d=2;        % mnemonic for decimal location in lookup table 
>> n=[i 2 f];  % make the full number as integer.fractionc
>> c(n+1)
ans =
1101.100110
>>

Or, of course, you don't have to actually have the temporary...

>> c([i d f]+1)
ans =
1101.100110
>>