$1.$ How many rows would a truth table have for a circuit with $6$ inputs? Explain your reasoning.

$2.$ Given the Boolean expression $\backslash ($ F$=$A B$+$B C$+$A C $\backslash ),$ construct its truth table by completing the following table.

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline C & B & A & & & & $\backslash \backslash$

$\backslash$hline & & & & & & $\backslash \backslash$

$\backslash$hline & & & & & & $\backslash \backslash$

$\backslash$hline & & & & & & $\backslash \backslash$

$\backslash$hline & & & & & & $\backslash \backslash$

$\backslash$hline & & & & & & $\backslash \backslash$

$\backslash$hline & & & & & & $\backslash \backslash$

$\backslash$hline & & & & & & $\backslash \backslash$

$\backslash$hline & & & & & & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

$1$