x y z F$($x$,$y$,$z$)$

$1111$

$1101$

$1010$

$1000$

$0110$

$0100$

$0011$

$0001$

For the Boolean function defined by the table, construct a K$-$map to find the minimal expansion of it as a Boolean sum of Boolean products.

To denote the complement of a variable x write xbar. For example to enter the expression

you would enter xbary, and the expression

would be entered as xbary$+$xybar. $($Do not put any spaces in your answer$)$