Answer
a) x = 1, y = 0, z = 0
b) x = 1, y = 0, z = 0
c) x = 1, y = 0, z = 0
Work Step by Step
For each of these equalities and proving it is an identity or finding a set of values of the variables for which it does not hold.
a) x | (y | z) = (x | y) | z
b) x ↓ (y ↓ z) = (x ↓ y) ↓ (x ↓ z)
c) x ↓ (y | z) = (x ↓ y) | (x ↓ z)
Sol:
a) x = 1, y = 0, z = 0
b) x = 1, y = 0, z = 0
c) x = 1, y = 0, z = 0