Bit xor of two binary strings and conversion into decimal

Hi, I have two large binary strings (e.g 256 bits each), then how to perform bit Xor operation and then convert the answer into decimal number.
str1='11010011110111110000110110111111';
str2='00011111001101011010001111100001';
str3=bitxor(str1,str2);
%%getting error in str3

3 Comments

To be clear, you want a decimal number that can't be represented in any native integer type? A 256-bit integer? Or did you just mean you want the result as a vector of 0's and 1's but not character?
I want to divide the string into 8 bit chunks and need decimal value between 0-255.

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 Accepted Answer

The xor part as a logical vector result
result = str1 ~= str2;
Or if you wanted it as char:
str3 = char((str1 ~= str2) + '0');
For 8-bit chunks turned into decimal numbers:
result = 2.^(7:-1:0) * reshape(str1 ~= str2,8,[]);

7 Comments

Thanks this part works well. I am using the function below to convert the binary string into dec but error
function dec1 = b2dec(b1,mn)%mn is the dim of matrix i.e 1*8*8 for 8*8 matrix
b2 = reshape(b1,8,mn)';
dec1 = [];
for i=1:mn
x = b2(i,:);
y = bin2dec(x);
dec1 = [dec1 y];
end
This assumes the strings str1 and str2 are rows as your example shows.
result = 2.^(7:-1:0) * reshape(str1 ~= str2,8,[]);
when I replace str1~=str2 directly with str3 ,I am getting big numbers . Can i use only the output string and get the numbers with in the range of 0-255
Is there a way in which i can use the output string only.
So, can you tell me what exactly you have as inputs (size and class) and what exactly you want as an output (size and class)?
I was workig on random bits generating and try different methods. Your both answer solved my problem . Thanks once again
%%%%Test random bit generation
I=imread('airplane.png');
I2=imresize(I,[128 128]);figure;imshow(I2)
R=I2(:,:,1);G=I2(:,:,2);
R_r=reshape(R,1,[]);
G_row=reshape(G,1,[]);
G_bits=dec2bin(G_row,8);
R_bits=dec2bin(R_r,8);
Red_bits=R_bits(:)';
Gr_bits=G_bits(:)';
%Extract last four bits
R_newbit=R_bits(:,5:end);
R_finabit=R_newbit(:)';
G_newbit=G_bits(:,5:end);
G_finalbit=G_newbit(:)';
s1=length(R_finabit);%check the size of both strings
s2=length(G_finalbit);
%bit Xor g final bit and r final bit and give the answer in dec number
result = 2.^(7:-1:0) * reshape(R_finabit ~= G_finalbit,8,[]);

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More Answers (1)

Use java BigInteger
import java.math.*;
a=BigInteger(str1,2);
b=BigInteger(str2,2);
c=a.xor(b);%c will be the decimal BigInteger

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