Logic Design (CNE 261) HW# 3 Suppose that analysis of a certain control problem led to the following truth table, which describes the response S of a system for all possible logic states of the four inputs A, B, C, and D. INPUTS AB C D 0 0 0 0 0 0 0 1 00 1 0 0 1 01 0 0 1 0 0 1 1 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 11 1 0 11 1 1 OUTPUT P 1 0 0 1 1 0 1 0 1 0 HHH 1 1 0 0 1 1 1. Write down the corresponding Boolean algebra expression P 1/2 2. Simplify the expression of P using The Karnaugh map CD AB P= 3. Produce the ( most simple) circuit using AND, OR and NOT gates