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Is there a Matlab function that returns the binary representation of a float number?
883
To convert integer to binary, start with the integer in question and divide it by 2 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero. Then just write out the remainders in the reverse order. Here is an example of such conversion using the integer 12.
6 in binary is 110. Unlike the decimal number system where we use the digits 0 to 9 to represent a number, in a binary system, we use only 2 digits that are 0 and 1 (bits).
b = de2bi( d ) converts a nonnegative decimal integer d to a binary row vector. If d is a vector, the output b is a matrix in which each row is the binary form of the corresponding element in d . b = de2bi( d , n ) has an output with n columns.
Binary numbers are usually represented with just two digits — 0 and 1 — cor- responding to the off and on states of the internal hardware. It takes quite a few more digits to represent a number in binary than in decimal, but any number that can be expressed in one can be converted to the other.
In Matlab, one can use Java JDK functions.
The short answer for converting float (single precision 32-bit number) in Matlab to a binary string representation might be:
flt=3.14
import java.lang.Integer java.lang.Float;
Integer.toBinaryString(Float.floatToIntBits(flt))
The long answer: conversion of float (single precision 32-bit number) in Matlab to a binary string representation
function out=float2binstring(flt)
% converts a float number to binary in matlab according to IEEE754
%
% Usage:
% float2binstring(-3.14)
%
% http://www.h-schmidt.net/FloatApplet/IEEE754.html
%
% Limitations:
% Rounding errors: Not every decimal number can be expressed exactly as a floating
% point number. This can be seen when entering "0.1" and examining its binary representation which is either slightly smaller or larger, depending on the last bit.
%
% Andrej Mosat, [email protected]
% 03/2012
% v0.0
% License: GNU GPL
%
% See also: BINSTRING2FLOAT
% this is a trick to use java JDK should be installed, tested on Matlab R2010
import java.lang.Integer java.lang.Float;
if ( ~isnumeric(flt) )
error('input must be a number');
end
out=Integer.toBinaryString(Float.floatToIntBits(flt));
end
And a conversion of binary string to float with a little overhead:
function out=binstring2float(binstr)
% converts a binary string to float number according to IEEE754
%
% Usage:
% binstring2float('11000000010010001111010111000011')
% -3.14
%
%
% http://www.h-schmidt.net/FloatApplet/IEEE754.html
%
% Limitations:
% Rounding errors: Not every decimal number can be expressed exactly as a floating
% point number. This can be seen when entering "0.1" and examining its binary representation which is either slightly smaller or larger, depending on the last bit.
%
% Andrej Mosat, [email protected]
% 03/2012
% v0.0
% License: GNU GPL
%
% See also: FLOAT2BINSTRING
import java.lang.Long java.lang.Float;
if isequal(class(binstr), 'java.lang.String')
binstr=char(binstr);
end
if ( ~isstr(binstr) )
error('input must be a binary string');
end
% Error handling for binary strings should be added here
% the sign is negative
if binstr(2)=='1'
binstr(2)='';
isnegative=1;
else
isnegative=0;
end
out=Float.intBitsToFloat( Long.parseLong( binstr , 2) );
if isnegative
out=-out;
end
end
It looks like you can use num2hex to convert a floating point into a hex string.
31
Check this FileExchange submission:
Floating number conversion to binary and vice-versa
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