11. (a) For the transistor-level circuit below, fill in the truth table. A B с D Z C (b) What is Z in terms of A and B? (c) Draw this circuit at the logic gate level: draw the interconnected logic gates that the transistors are implementing - make certain your truth table still works when you are done!

It is often desirable in designing an electric wiring system to be able to control a single appliance from two or more locations, for example, to control a lighting fixture from both the top and bottom of a stairwell. In home wiring systems, this type of control is implemented with three-way and four-way switches. A three-way switch is a three-terminal, two-position switch, and a four-way switch is a fourterminal,two-position switch. The switches are shown schematically in P2.40(a), which illustrates a three-way switch, and 2.40(b), which illustrates a four-way switch. If the lamp (appliance) is to be controlled from more than twolocations, four-way switches are used in conjunction with twothree-way switches. One four-way switch is required for eachlocation in excess of two. Show how one four-way switch plus twothree-way switches can be connected between a and b in P2.40(c) to control the lamp from three locations. (Hint: The fourwayswitch is placed between the three-way switches.)

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