Make a truth table of a $3-$input XOR gate.

The output of a three$-$input majority circuit is $1$ if a majority $($more than half$)$ of its inputs are equal to $1,$ and the output is $0$ otherwise. Construct a truth table for a three$-$input majority circuit and derive a simplified sum$-$of$-$products expression for its output.

Make a group of $3$ students, write names of all students. Are your answers same within the group?