Solving linear systems with binary solutions

Hi, I have a linear equation system:

x+1=0;
x+1=y;
x=1;

It seems that is has no solution. But the solution of x and y should be binary bits. In this case, the solution is x=1,y=0.However, I don't know how to solve this system in Matlab. Could anybody help? Thanks so much!!

Answer 1

[Walter Roberson]

http://www.mathworks.com/matlabcentral/answers/16192-inversion-of-a-boolean-matrix

That is, you can express your linear system in the form A*x = b, and you have known A and b, so you can do boolean_inverse(A)*A*x = boolean_inverse(A)*b so x = boolean_inverse(A)*b