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A burglar alarm is designed so that it senses four input signal lines. Line A is

ID: 1925044 • Letter: A

Question

A burglar alarm is designed so that it senses four input signal lines. Line A is from the secret control switch, line B is from a pressure sensor under a steel safe in a locked closet, line C is from a battery-powered clock, and line D is connected to a switch on the locked closet door. The following conditions produce a logic 1 voltage on each line.
A: The control switch is closed.
B: The safe is in its normal position in the closet.
C: The clock is between 1000 and 1400 hours.
D: The closet door is closed.
Write the switching expression for the burglar alarm that produces a logic 1 (rings a bell) when the safe is moved and the control switch is closed, or when the closet is o pen after banking hours, or when the closet is opened with the control switch open.

Explanation / Answer

Write the switching expression for the burglar alarm that produces a logic 1 (rings a bell) when the safe is moved and the control switch is closed, or when the closet is o pen after banking hours, or when the closet is opened with the control switch open. *(not B) is the same as (B bar) " when the safe is moved and the control switch is closed" = (not B) and (A) " when the closet is open after banking hours" = (not D) and (not C) "when the closet is opened with the control switch open" = (not D) and not (A) final expression: (not B) A + (not D)(not C) + (not D) ( not A)