3- Simplify each of the following Boolean equations. Sketch a reasonably simple combinational circuit implementing the simplified equation. (a) Y = BC+ABC+BT (b) Y = A+B+B+A+B (c) Y = ABC+ABD+ABE+ACD+ACE+ (A+D+E) +B CD +B TE+BDE+CDE 4- Write a Boolean equation in product-of-sums (POS) form for the following truth table: O A 0 0 0 O 0 0 0 O B 0 0 0 0 1 1 1 C 0 0 1 1 0 0 1 D | 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 4.1 Minimize the output Boolean equation in previous part. 4.2 Sketch a reasonably simple combinational circuit implementing of the function from part 2.1