Unlimited Decimal/Fractional Binary Converter

Conversion to and from a decimal number and a fractional binary number. No limitations on order of magnitude/number of significant digits.

Conversion to and from a decimal number and a fractional binary number. No limitations on order of magnitude and number of significant digits when the decimal number is supplied as a string. You may optionally set the number of significant bits returned or used in conversion. Requires Java.

Example:

% Make a negative number with 250 significant digits and 150 decimal places
decStr = ['-', regexprep([num2str(randi([0 9], 1, 100)), '.', ...
  num2str(randi([0 9], 1, 150))], ' ', '')]
% Get the fractional binary number
binStr = dec2fbin(decStr)
% Convert the binary number back to a decimal number
fbin2dec(binStr)

% A double has 53 significant bits, convert with this limitation
fbin2dec(binStr, 53)
% Compare with MATLAB
str2double(decStr)