1. Given the truth table below describing the behavior of a logic circuit, obtain its simplified Boolean expression in both SOP and POS forms. Draw the circuit diagram for the simplest expression.

Inputs		Outputs
A	B	C	F
0	0	0	1
0	0	1	0
0	1	0	1
0	1	1	1
1	0	0	1
1	0	1	0
1	1	0	0
1	1	1	1

2. Derive the truth table for a 3-Input Majority gate such that the output is HIGH only when more than half of its inputs are HIGH. Obtain its simplified Boolean expression in both SOP and POS forms and draw the circuit diagram for the simplest expression