How can I simplify this expression Simplify this expression

Simplify this expression? (A bar BC) + BC

Solution

(A\' XOR BC) + BC

= ((A\')\'BC + A\'(BC)\') + BC

= (ABC + A\'(B\'+C\')) + BC

= (ABC + A\'B\' + A\'C\') + BC

= ABC + A\'B\' + A\'C\' + BC

= BC(A + 1) + A\'B\' + A\'C\'

= BC + A\'B\' + A\'C\'

= BC + A\' ( B\' + C\') or A\' (B\' + C\') + BC