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. Simplify the boolean equation using: (a) Postulates and theorems (identify the postulates and theorems being used) (b) K-Map. Write the equivalent truth table and compare the results in #1. Are they the same?

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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.

Simplify the boolean equation using:
(a) Postulates and theorems (identify the postulates and theorems being used)
(b) K-Map.
Write the equivalent truth table and compare the results in #1. Are they the same?

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