hotel staircase has two switches, one at the top of the staircase, and one at the bottom. With each switch, the (same) light can be turned on and off, independently of the position of the other switch. 1) Construct a truth table for the logical function needed to describe the behavior of such a two-way switch

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A hotel staircase has two switches, one at the top of the staircase, and one at the bottom. With each switch, the (same) light can be turned on and off, independently of the position of the other switch. 1) Construct a truth table for the logical function needed to describe the behavior of such a two-way switch and using this truth table, come up with a Boolean expression for this function. 2) From this truth table, construct a Boolean expression that represents the same function. This expression should only use the primitive logic gates (AND, OR, and NOT). 3) Design a circuit that represents the desired function and verify it by measuring its truth table.
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