A digital system has a 3-bit input from 000 to 111. We want to design a logic circuit that produces a HIGH(1) output only when a majority of inputs A, B, and C are LOW(0).

a) Obtain the truth table of above problem statement.

b) Find the minimal SOP expression using the truth table from(a). don't use k-map here.

c) Find the minimal POS expression and draw the logic circuit of the same.