A majority gate is a logical gate used in circuit complexity and other applicati

A majority gate is a logical gate used in circuit complexity and other applications of
Boolean circuits. The output of the majority function is 1 if the majority of its inputs (i.e., two or
three of the three inputs) are 1 and 0 otherwise. In other words, a majority gate returns true if and
only if more than 50% of its inputs are true.
(a) Using Digital/Logisim, draw the full circuit of a three (3) input majority “gate” using basic
logic gates. (Hint: Begin by drawing the truth table that satisfies the conditions a majority
gate).
(b) Derive the equation representative of the circuit.