A four-variable logic function that is equal to 1 if any three or all four of its variables are equal to 1 is called a majority function. Design a minimum-cost SOP circuit that implements this majority function.

Apiston-cylinder device contains 0.1 m3 of liquid water and 0.9 m3 of water vapor in equilibrium at 800 kpa. heat is transferred at constant pressure until the temperature of water reaches 350 °c. determine (a) the quality of water at the initial state (b) the work associated with this process, (c) the heat associated with this process.