1. In the game of "match," each of two players, A and B, has control of an input switch. At the signal, each player allows the current to flow (on) or stops the current (off). If both players choose the same input (both on or both off), player A wins. If their inputs differ, player B wins. Design a circuit so that the output is on only when player A wins.

2. In designing a large four walled lecture hall, the architect has placed a door on each wall, and next to each door there is a light switch. Design a logic circuit so that the light can be turned on or off from any switch. (The light should go on if an even number of switches are on, and the light should go off if an odd number of switches are on. Why?)

3. Use the Wolfram ∙ Alpha function Boolean Minimize to carry out the simplification in Example 3.

Use the Wolfram | Alpha function Boolean Minimize to find a simpler Boolean expression equivalent to the Boolean expression given by the circuit in Exercise 10?