Problem $1$

write a Boolean equation in sum$-$of$-$products canonical form for each of the truth tables.

$($

$($e$)$

$\backslash$begin$\{$tabular$\}\{$ccc$|$c$\}$

$\backslash (\backslash$boldsymbol$\{$A$\}\backslash )$ & $\backslash ($ B $\backslash )$ & $\backslash ($ C $\backslash )$ & $\backslash ($ Y $\backslash )\backslash \backslash$

$\backslash$hline $0$ & $0$ & $0$ & $1\backslash \backslash$

$0$ & $0$ & $1$ & $0\backslash \backslash$

$0$ & $1$ & $0$ & $0\backslash \backslash$

$0$ & $1$ & $1$ & $0\backslash \backslash$

$1$ & $0$ & $0$ & $0\backslash \backslash$

$1$ & $0$ & $1$ & $0\backslash \backslash$

$1$ & $1$ & $0$ & $0\backslash \backslash$

$1$ & $1$ & $1$ & $1$

$\backslash$end$\{$tabular$\}$