An engineer wants to design a logic circuit for a security system that only grants access under specific conditions. The system requires a key card to be swiped $($A$),$ a numerical code to be entered correctly $($B$),$ a retinal scan to be passed $($C$),$ and a voice command to be recognized $($D$).$ The engineer has constructed a complex Boolean expression for the system. You need to determine the minimal expression for the following using a Karnaugh map and draw the circuit diagram from the resultant output.

F $=($A$+$B$+$C$+$D$)($A$+$B$+$C$\text{'}+$D$\text{'})($A$+$B$\text{'}+$C$+$D$\text{'})($A$+$B$+$C$\text{'}+$D$)($A$\text{'}+$B$+$C$+$D$)($A$\text{'}+$B$\text{'}+$C$\text{'}+$D$)($A$+$B$\text{'}+$C$\text{'}+$D$\text{'})($A$\text{'}+$B$+$C$\text{'}+$D$\text{'})$

plot the final circuit using one or two input gates only