Question

Simplify the following Boolean e
(i) (AB' + A'B)'(A+B)​

Answer 1

Using a and b in place of A and B:

(ab'+a'b')'(a+b)

(ab')'(a'b')'(a+b) {De Morgans Law}

[a'+(b')'][(a')'+(b')'](a+b) {De Morgans Law}

(a'+b)(a+b)(a+b) {Involution}

(a'+b)(a+b) {Idempotence}

Simplified Expression: (a'+b)(a+b)

Refer to attachment for all boolean algebra laws.