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. 1. Write an equation for the scenario above. List the assignment for each variable. Write its equivalent truth table showing each term. 2. Simplify the boolean equation using: (a) Postulates and theorems (identify the postulates and theorems being used) (b) К-Мар. Write the equivalent truth table and compare the results in #1. Are they the same? 3. Implement the simplified boolean function you got in #2 into: (a) NAND implementation (b) NOR implementation Write their equivalent truth tables and compare their results in #2. Are they all the same?

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. 1. Write an equation for the scenario above. List the assignment for each variable. Write its equivalent truth table showing each term. 2. Simplify the boolean equation using: (a) Postulates and theorems (identify the postulates and theorems being used) (b) К-Мар. Write the equivalent truth table and compare the results in #1. Are they the same? 3. Implement the simplified boolean function you got in #2 into: (a) NAND implementation (b) NOR implementation Write their equivalent truth tables and compare their results in #2. Are they all the same?

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.22P

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