Design circuit with least logic gates
\$F3= \bar xz +x y + x \bar y \bar z\$

\$F3= \bar xz +x y (1 + \bar z) + x \bar y \bar z\$

\$F3= \bar xz + x y + x y\bar z + x \bar y \bar z\$

\$F3= \bar xz + x y + x\bar z (y + \bar y)\$

\$F3= \bar xz + x y + x\bar z\$