1. Give a truth-table proof showing that x + yz = (x + y)(x + z). 2. Give a truth-table proof showing that ((m k)   k) = m. 3. Prove the identity, annihilation, and associativity laws for the XOR...

1. Give a truth-table proof showing that x + yz = (x + y)(x + z).

2. Give a truth-table proof showing that ((m

k)
  k) = m.

3. Prove the identity, annihilation, and associativity laws for the XOR function from the definition x

y = xy' + x'y and the basic laws of Boolean algebra (see page 990 and page 993).