Write a program that will accept any boolean expression in two variables and wil

Question

Write a program that will accept any boolean expression in two variables and will print out the truth table for that expression.  Use || for or, && for and, and ! for not. Use -> for implication and <-> for biconditional.

For example, if the expression was:

!(p && q) <-> ( !p || !q)

Your program would print:

p  q | !(p && q) <-> (!p || !q)
-------------------------------
T    T  |   F  T   T   T      T       F   F    F
T    F  |   T  T   F   F      T       F   T    T
F    T  |   T  F   F   T      T       T   T    F
F    F  |   T  F   F   F      T       T   T    T

Explanation / Answer

# Define a few variables

>>> x = 10

>>> y = 12

>>> z = 14

# (y*z) is evaluated first, then x is added

>>> x + y * z

178

# (x * y) is evaluated first, then z is subtracted from the result

>>> x * y - z

106

# When chaining comparisons, a logical 'and' is implied. In this

# case, x < y and y <= z and z > x

>>> x < y <= z > x

True

# (2 * 0) is evaluated first and since it is False or zero, it is returned

>>> 2 * 0 and 5 + 1

0

# (2 * 1) is evaluated first, and since it is True or not zero, the (5 + 1) is evaluated and

# returned

>>> 2 * 1 and 5 + 1

6

# x is returned if it is True, otherwise y is returned if it is False. If neither

# of those two conditions occur, then z is returned.

>>> x or (y and z)

10

# In this example, the (7

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