Boolean Xor

sympy.logic.boolalg.Xor(*args)

Xor represents Logical XOR or Exclusive Or function. If an odd number of the arguments are True and the others are False, this function returns True. If an even number of the arguments are True and the others are False, the result is False.

Python3




# import packages
from sympy.abc import x, y
from sympy.logic.boolalg import Xor
 
xor_formula = x ^ y
print(xor_formula)
print(Xor(x, y))
 
#  True ^ False == True
print(Xor(True, False))
 
# True ^ True == False
print(Xor(True, True))
 
# False ^ False == False
print(Xor(False, False))
 
# False ^ True == True
print(Xor(False, True))


Output:

x ^ y
x ^ y
True
False
False
True

What are the Logical Expressions in Sympy?

SymPy is a symbolic mathematics Python package. Its goal is to develop into a completely featured computer algebra system while keeping the code as basic as possible to make it understandable and extendable. The package is entirely written in python language. Logical expressions in sympy are expressed by using boolean functions. sympy.basic.booleanarg module of sympy contains boolean functions. 

The common Python operators & (And), | (Or), and ~ (Not) can be used to create Boolean expressions. >> and can also be used to create implications. other boolean operations or gates are NAND, NOR, XOR, etc.

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Boolean True:

sympy.logic.boolalg.BooleanTrue...

Boolean False:

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Boolean And:

sympy.logic.boolalg.BooleanFalse...

Boolean Or:

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Boolean Not:

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Boolean Nor:

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Boolean Nand:

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Boolean Xor:

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Boolean Xnor:

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Boolean Equivalent

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Boolean ITE:

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