$.$ Design a circuit that implements majority voting for five individuals.

$8.$ Design a circuit for a light fixture controlled by four switches, where flipping one of the switches turns the light on when it is off and turns it off when it is on$.$

$9.$ Show how the sum of two five$-$bit integers can be fourd using full and half adders.

$10.$ Construct a circuit for a half subtractor using AND gates, $OR$ gates, and inverters. A half subtractor has two bits as input and produces as output a difference bit and a borrow.

$11.$ Construct a circuit for a full subtractor using AND gates, $OR$ gates, and inverters. A full subtractor has two bits and a borrow as input, and produces as output a difference bit and a borrow.

$12.$ Use the circuits from Exercises $10$ and $11$ to find the difforence of two four$-$bit integers, where the first integer is