Venus has switches at the top and bottom of her stairs to control the light for the stairwell. She notices that when the upstairs
switch is up and the downstairs switch is down, the light is turned on. a. Copy and complete the truth table.
b. If both the upstairs and downstairs switches are in the up position, will the light be on? Explain your reasoning. c. If the upstairs switch is in the down position and the downstairs switch is in the up position, will the light be on?
d. In general, how should the two switches be positioned so that the light is on?

Question

Venus has switches at the top and bottom of her stairs to control the light for the stairwell. She notices that when the upstairs
 switch is up and the downstairs switch is down, the light is turned on. a. Copy and complete the truth table.
 b. If both the upstairs and downstairs switches are in the up position, will the light be on? Explain your reasoning. c. If the upstairs switch is in the down position and the downstairs switch is in the up position, will the light be on?
 d. In general, how should the two switches be positioned so that the light is on?

Quizlet Admin · Accepted Answer

**(a)**

Let's complete **the given truth table**.

First, list all possibilities in the first two columns and then fill the last column.

Keep in the mind that light is turned on when the upstairs switch is up and the downstairs switch is down.

Therefore,

|Upstairs |Downstairs |Light on| 
|--|--|--| 
|up | up|F | 
|up | down| T| 
| down|up |F |

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Upstairs	Downstairs	Light on
up	up	F
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down	up	F