TOPIC: Rock$-$Scissors$-$Paper Game Machine

Make the truth table for rock$-$scissors$-$paper game $($for $2-$person$)$

Making the algebraic function form the derived truth table

Using the derived algebraic function, design the digital logic circuit for rock$-$scissors$-$paper game $($Hint: below figure$)$

Design the digital the digital logic circuit for rock$-$scissors$-$paper game using only $1)$ NAND gates and $2)$ NOR gates