A farmer owns two barns; one north of a creek and the other south of the creek. The farmer has a Cabbage, a Goat, and a Wolf. The Farmer needs to put each item in a barn every night. If the Cabbage and Goat are in the same barn, the Goat will eat the Cabbage. If the Wolf and the Goat are in the same barn, the Wolf will eat the Goat. The Farmer is worried and you have to design an alarm circuit that will let him know if two items can safely be placed in a barn. For this circuit, you have three inputs { Cabbage, Goat, Wolf } and one output {Alarm}. If an input is in the north barn, it gets assigned a logic 1, and if it is in the south barn it gets assigned a logic 0. The output Alarm, asserts if there are two items in a barn that should not be kept together. Draw and complete the truth table and use the truth table to construct a canonical sum?of?products (SOP) expression.