Exercise $2\mathrm{.}2$ Write a Boolean equation in sum$-$of$-$products canonical form for

each of the truth tables in Figure $2\mathrm{.}81.$

$($a$)$

$($b$)$

$($c$)$

$($d$)$

$($e$)$

Figure $2\mathrm{.}81$ Truth tables for Exercises $2\mathrm{.}2$ and $2\mathrm{.}4$ Exercise $2\mathrm{.}4$ Write a Boolean equation in product$-$of$-$sums canonical form for

the truth tables in Figure $2\mathrm{.}81.$ Exercise $2\mathrm{.}6$ Minimize each of the Boolean equations from Exercise $2\mathrm{.}2.$