Question

What the boolean expression (a+b)(a'+b') can be implemented by using?

Answer 1

(a+b)(a'+b')=a.a'+b.a'+a.b'+b.b'=0+b.a'+a.b'+0=1. This expression can be implemented in digital circuit. You can realize this expression by using two buffers two OR GATE and one AND GATE.Or if you derive the circuit as per the simplified form(a'b+ab') you only has to use two buffers and one OR GATE.