there are three sensors, A, B and C. In order for the alarm to go off, any two of the sensors have to be activated at the same time. Do a truth table for the expressions and simplify it.

 

Originally posted by nick2price@Apr 7 2006, 11:23 PM
there are three sensors, A, B and C. In order for the alarm to go off, any two of the sensors have to be activated at the same time. Do a truth table for the expressions and simplify it.

[post=15939]Quoted post[/post]​

First off, this post should probably be in the homework topic. Maybe the mods can move it.

On to your question.

This one should be pretty simple. I will not give you the answer but I will certainly lead you in the right direction.

Firstly draw your matrix and consider A, B and C as binary bits. Place 1's and 0's in the matrix in a 3 bit binary counting arrangement.

See if you can work it out from there.