Answer
a)True
b)False
c)False
Work Step by Step
Proving These Equations are True ore False
a) x ⊕ (y ⊕ z) = (x ⊕ y) ⊕ z
b) x + (y ⊕ z) = (x + y) ⊕ (x + z)
c) x ⊕ (y + z) = (x ⊕ y) + (x ⊕ z)
Solution:
a) True, as a table of values can show
b) False; take x = 1, y = 1, z = 1, for instance
c) False; take x = 1, y = 1, z = 0,
for instance
