Homework $5$:

$1)$ Write Truth Table for the following functions:

F$=($~A xor ~B$)$ or ~C

F$=$ ~A or ~B or ~C

F$=(($~A or B$)$ and $($~A or ~B$))$ or $($C$+$~A$)$

$2)$ Use the functions above to create digital circuits.

$3)$ Use Boolean Algebra to simplify the following functions.

F$=($~A$+$B$)($A$+$B$)($C$+$A$)$

F$=$ ABC$+$ A$($~B$+$~C$)+$C$($A$+$B$)$

F$=($A$+$B$)($A$+$C$)($B$+$C$)$