A bank vault has three locks with a different key for each lock. Each key is owned by a different person. To open the door, at least two people must insert their keys into the assigned locks. The signal lines A, B, and C are 1 if there is a key inserted into lock 1, 2, or 3, respectively. The output variable Z which is 1 iff the door should open. Write an equation for the scenario above. List the assignment for each variable. Write its equivalent truth table showing each term.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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A bank vault has three locks with a different key for each lock. Each key is owned by a
different person. To open the door, at least two people must insert their keys into the
assigned locks. The signal lines A, B, and C are 1 if there is a key inserted into lock 1, 2,
or 3, respectively. The output variable Z which is 1 iff the door should open.
Write an equation for the scenario above. List the assignment for each variable. Write its
equivalent truth table showing each term.
Transcribed Image Text:A bank vault has three locks with a different key for each lock. Each key is owned by a different person. To open the door, at least two people must insert their keys into the assigned locks. The signal lines A, B, and C are 1 if there is a key inserted into lock 1, 2, or 3, respectively. The output variable Z which is 1 iff the door should open. Write an equation for the scenario above. List the assignment for each variable. Write its equivalent truth table showing each term.
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