1) A logic circuit with an output:

X=AB(Line over B)C+AC(Line over C)

consists of:

two AND gates and one OR gate

two AND gates and one OR gate and two inverters

two OR gates, one AND gate, and two inverters

two AND gates, one OR gate, and one inverter

2)

According to DeMorgan's theorems:

A+B(Line over the whole thing)

is the same as:

	A+B{(line over A and line over B)
	A + B
	AB(Line over A and line over B)
	AB