Given the following truth table,

a$.$ write the SOP form of $F$

$[2$ marks$]$

b$.$ use Boolean Algebra to reduce the expression in a$.$

$[4$ marks$]$

c$.$ draw the Karnaugh map for the expression in a$.,$ showing groupings, and

giving the simplified expression obtained

$[4$ marks$]$

d$.$ draw the circuit for the simplified expression.

$[2$ marks$]$

e$.$ show the truth table of the simplified expression.

$[1$ mark$]$

f$.$ what can be observed from the inputs $B,$ and $D,$ for the function $F?$

$[2$ marks$]$

marks