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Help with logic gates homework watch

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1. Hey guys. I'm usually top of the class in IT/CS (achieved 1st on End of Year exam both in Y7 & 8), so I very rarely ask for help with current homework, but it appears my demise has arrived.

We received a homework last week with three levels to choose, the Easy, Medium, or Hard. Easy and Medium I got done within the lesson, since I almost always get classwork done early. Hard gets you a "good comment". Unfortunately for me, I'm only good at recognition and description of logic gates, and get really confused when it comes to applying them in a diagram or plotting out complex truth tables. I've completed most of the worksheet already, but the last one is bugging me a little.

An electronic system will only operate if three switches P, S and T are correctly set. An output signal (X = 1) will occur if P and S are both in the ON position or if P is in the OFF position and S and T are both in the ON position. Design a logic circuit (network) to represent the above situation and also draw the truth table.

If anybody could help me create a logic circuit diagram for this, I'd be really grateful. Thank you!

Please ignore the image attached, it was related to a previous question and was attached by accident. Soz
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2. Here's how I would do it:
3. (Original post by BobBobson)
Here's how I would do it:
Thanks for the help! I forgot you could just have the absence of a logic gate and just use a straight connection (like the one that goes straight down from P).

I really appreciate the help, and thanks again!
4. Even in Uni, logic gates are the bain of my life!

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