TASK:

For the given function $F$ in terms of sum$-$of$-$minterms $($SOM$)$ and don't care condition:

$F(A,B,C,D)={\displaystyle \underset{m}{\overset{?}{}}}(2,6,7,8,10,13,14,15)+d(0,5)$

a$.$ Preliminary work: Express $F$ in terms of product$-$of$-$maxterms $($POM$).$

b$.$ Preliminary work: Using K$-$maps, simplify F in terms of sum$-$of$-$products $($SOP$).$

c$.$ Preliminary work: Using K$-$maps, simplify $F$ in terms of product$-$of$-$sums $($POS$).$

d$.$ Preliminary work: Construct the truth table of the simplified $F$ in both SOP and POS forms. What is the difference between these truth tables?

e$.$ Preliminary work: Draw the SOP circuit by hand using elementary gates.

f$.$ Preliminary work: Draw the POS circuit by hand using elementary gates.

g$.$ Lab work: Build the circuit of the simplified SOP function on the breadboard. Verify the truth table.

h$.$ Lab work: Build the circuit of the simplified POS function on the breadboard. Verify the truth table.