Consider a simple device that takes two n-bit unsigned magnitude binary inputs A and B representing two numeric values ranging from 2^n - 1. The n inputs for A are represented by input variables A(n-1) through A0. Values for B and C are represented similarly. The n-bit output C of the device will be the greater of the two binary values presented on the n-bit inputs A and B.

Design #0 (0 points) Consider a 2-bit maximum value selector. There will be four inputs (A1A0B1BO) and two outputs (CIC0) Create a truth table, simplified SOP equations, and an implementation for your solution. [NOTE: If you received full credit for Lab #3 then you may simply refer to . your previous work done in that laboratory.] Design #1 (1 point) Realize a new solution for a 2-bit maximum value selector that uses two 1-bit 16-to-1 multi plexers (one to implement C1 and one to implement CO). You may use no other discrete logic devices. Simulate your design, test it, and be prepared to demonstrate your simulation/ answer questions implement your design for your TA Design #2 (1 point) Again consider a 2-bit maximum value selector. Realize a solution to this design that uses only 1-bit 2-to-1 multiplexers. You may use as many of these multiplexers as you wish, but you may use NO other logic device. Simulate your design, test it, and be prepared to simu- late it/answer questions implement it abut it for your TA. Design #3 (1 point) . Realize a new implementation for your 2-bit maximum value selector that uses only NAND gates. You may use as many NAND gates as you wish, but may use NO other discrete logic devices. Simulate your design, test it, and be prepared to simulate it answer ques- tions/implement it about it for your TA Design #4 (2 points) .Design a 1-bit maximum value selector designed to be used to solve larger problems using an iterative design approach. This may require your one-bit design to have ADDITIONAL in puts and or outputs that are used by the 1-bit devices to communicate information about the progress of the overall task to EACH OTHER. What information might one stage of the de vice need to communicate to other stages of the device? In which direction does information need to follow (MSB-LSB or LSB MSB)? Simulate your design, test it, and be prepared