Is this truth table hitting all the possible cases?

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SUMMARY

The forum discussion centers on verifying the accuracy of a truth table related to a security system circuit involving six sensor inputs (S_i = 0, 1, 2, 3, 4, 5) and a master switch (M). The outputs include an alarm (A), lights (L), video cameras (V), and a call to police (C). The user confirmed that the truth table correctly accounts for the scenarios where the master switch is on, while also noting that there should be 2^(n-1) possibilities for the sensor inputs when M is off. This indicates a comprehensive understanding of the truth table's structure and its implications for circuit implementation.

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mr_coffee
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Hello everyone, I don't want to implement the rest of this circuit if i messed the truth table up! So i was wondering if someone can take a look to see if the truth table seems to hit all the cases and looks correct.
http://img417.imageshack.us/img417/6629/lastscan4hi.jpg
Here is what the problem says:
Inputs:
<tex>S_i = 0, 1, 2, 3, 4, 5</tex> - signals from six sensors sets (0 - instrution detected, 1 - no intrusion detected).
M- master switch (0- security system on, 1- security system off)

Outputs:
A- alarm (0 - alarm on, 1- alarm off)
L - lights (0 - lights on, 1 - lights off)
V - video cameras (0 - video cameras OFF, 1 - video cameras ON)
C- call to police (0 - call OFF, 1- call ON);

Thanks!
 
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n/m, it is right.
 
Since you have inputs 0-5 and we only care about when M is on except for the one case when it is off, shouldn't there be 2^(n-1) possibilities or rows for the sensors?
 

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