XOR using mathematical operators

Question

How can I implement XOR using basic mathematical operators like +,-,*,/

Update: Actually, I need to track change in two matrix having Boolean values. T

Answer 1

In Brown, G. and Dell, R., Formulating linear and integer linear programs: A rogues’ gallery the following linear programming formulation for the XOR can be found:

Z3 = Z1 XOR Z2

resolves to

Z3 <= Z1 + Z2
Z3 >= Z1 - Z2
Z3 >= -Z1 + Z2
Z3 <= 2 - Z1 - Z2