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10. Find the output of the given circuits. 11. [BONUS] Sometimes light fixtures are controlled by more than one switch. Circuits need to be designed so that flipping any one of the switches for the fixture turns the light on when it is off and turns the light off when it is on. Design a circuit that accomplish this when there are three switches. 5. There are four Boolean functions of degree 1 , which are shown in the table below. Find all Boolean functions fi of degree 2. How many are there? How many Boolean functions are there of degree 3 , and more generally of degree n ? 6. Find the dual and complement of each of the following Boolean expressions. a. f=(x+0)+yz b. f=xyz+xyz+xyz
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