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In a bank, there are four employees. They are the bank manager, assistant manager, teller and the security guard. The bank has a single vault to store money. This vault was designed such that it needs four signals to open it. These four signals are from the four employees. For the vault to open, it needs to satisfy all of the following conditions: 1. No single employee can open the vault. 2. Can be opened with three employees which includes the manager 3. Can be opened by the manager together with the assistant manager. It is required to design a digital system which will open the vault door if the abovementioned conditions are met.

In a bank, there are four employees. They are the bank manager, assistant manager, teller and the security guard. The bank has a single vault to store money. This vault was designed such that it needs four signals to open it. These four signals are from the four employees. For the vault to open, it needs to satisfy all of the following conditions: 1. No single employee can open the vault. 2. Can be opened with three employees which includes the manager 3. Can be opened by the manager together with the assistant manager. It is required to design a digital system which will open the vault door if the abovementioned conditions are met.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Course:Digital Logic Design Solution needed only for a(iv) *** x is 6(even)
In a bank, there are four employees. They are the bank manager, assistant manager, teller and the security guard. The bank has a single vault to store money. This vault was designed such that it needs four signals to open it. These four signals are from the four employees. For the vault to open, it needs to satisfy all of the following conditions: 1. No single employee can open the vault. 2. Can be opened with three employees which includes the manager 3. Can be opened by the manager together with the assistant manager. It is required to design a digital system which will open the vault door if the abovementioned conditions are met. a) The students must draw the truth table to find the the Boolean equation and then find the minimized form of the obtained Boolean equation. i) The students must simplify the Boolean expression using algebraic method if the last digit of their ID is odd (19-1234x-1, x = odd). The students must simplify the Boolean expression using Karnaugh map if the last digit of their ID is even (19-1234x-1, x = even). ii) iii) The students must obtain a SoP expression if their ID ends in 0, 1, 2, 3 and 4. The students must obtain a PoS expression if their ID ends in 5, 6, 7, 8 and 9. iv)
Transcribed Image Text:In a bank, there are four employees. They are the bank manager, assistant manager, teller and the security guard. The bank has a single vault to store money. This vault was designed such that it needs four signals to open it. These four signals are from the four employees. For the vault to open, it needs to satisfy all of the following conditions: 1. No single employee can open the vault. 2. Can be opened with three employees which includes the manager 3. Can be opened by the manager together with the assistant manager. It is required to design a digital system which will open the vault door if the abovementioned conditions are met. a) The students must draw the truth table to find the the Boolean equation and then find the minimized form of the obtained Boolean equation. i) The students must simplify the Boolean expression using algebraic method if the last digit of their ID is odd (19-1234x-1, x = odd). The students must simplify the Boolean expression using Karnaugh map if the last digit of their ID is even (19-1234x-1, x = even). ii) iii) The students must obtain a SoP expression if their ID ends in 0, 1, 2, 3 and 4. The students must obtain a PoS expression if their ID ends in 5, 6, 7, 8 and 9. iv)
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