Question

The simplified form of a logic function $Y=A(B+C(\overline{AB+AC}\left)\right)$ will be

• A. $\overline{AB}$
• B. AB
• C. $\overline{A}B$
• D. $A\overline{B}$

Answer 1

The correct option is B AB

$Y=AB+AC\left(\overline{AB+AC}\right)$

$=AB+AC(\overline{AB}.\overline{AC})$

$=AB+AC(\overline{A}+\overline{B})(\overline{A}+\overline{C})$

$=AB+AC\overline{B}(\overline{A}+\overline{C})=AB$