Problem 3 20 pts: Fun with NAND In the figure below we depict an unusual little device (a) which we'll call a (N)AND gate. It takes two inputs A and B and a control input labelled CTRL, while producing one output labelled OUT. If the CTRL input is 0, the device works like an AND gate. If the CTRL input is 1, the device works like a NAND gate. On the right part of the figure, we've connected two (N)AND gates together in a funny way. What does the device do now? Create a truth table to work out the behavior of the combined device. Write down an equivalent boolean expression and draw a circuit diagram using a minimum number of AND, OR, and NOT gates. AB (N)AND AB OUT CTRL (N)AND OUT (N)AND OUT