Given the following Boolean Function: F$($w$,$x$,$y$,$z$)=\backslash$Sigma $(4,6,7,15)$

$1.$ Show the function in the truth table in column F$.$

$2.$ Determine the minterms, and create the SOP expression.

$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

$3.$ Determine the maxterms, and create the POS expression.

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$4.$ Create the Karnaugh map $($K$-$Map$)$ for the Function, complete the groupings, and determine the

minimized expression.

$5.$ Draw the logic diagram for the K$-$Map minimized expression.

$6.$ Verify the K$-$map expression is equivalent to the original function using the truth table provided $($showing

all the steps to reach the outcome$).$

Note: Label your answers with the numbers listed above.

w x y z F minterms maxterms

$4.$ K$-$Map

y$=0,$ z$=0$ y$=0,$ z$=1$ y$=1,$ z$=1$ y$=1,$ z$=0$

w$=0,$ x$=0$

w$=0,$ x$=1$

w$=1,$ x$=1$

w$=1,$ x$=0$

$5.$ Place your answer here: