A system has 4 inputs (A, B, C, D) and one output (Y). The relationship between inputs and output was placed in a truth table which yielded the following expression (50 points) Y=A'B'C'D' +AB' CD+A' B'C' D+A' B' CD+AB' CD' +A' BCD+ABCD+A' BCD' +ABCD' +A' BC' D+A' BC' D' (Note: A' is opposite of A etc.) a. Draw a Karnaugh Map b. Find the simplest relationship between inputs and output. 2- Sketch a logic network to accomplish the result in problem (1). (25 points) 3- Sketch a ladder diagram to accomplish the result in (1).