oria (Body 12 A A Aa. l a 1 Normal No Spa Heading 1 Heading 2 Tite I. GIVE SIMPL

Question

oria (Body 12 A A Aa. l a 1 Normal No Spa Heading 1 Heading 2 Tite I. GIVE SIMPLE VERBAL SENTENCE FOR THE FOLLowINGGONE Pom EACH) Logic P: The lamp is off Q: The room is dark --PA Q) (HINT: USE DEMORGAN's LAw TO SIMPLIF) IL. DRAw CIRCUITS FOR THE FOLLowING (2 POINTs EACH) For 3 inputs AB,C 2. For 2 inputs AB 3 For 3 input SAB,C IIT. EVALUATE THE CIRCUIT FOR FOLLowING INPUTs a PoINT EACHO 151 Out 1. A: TRUE. B FALSE C TRUE D FALSE. 2, A TRUE, C FALSE. D TRUE 3, A TRUE, B: TRUE C FALSE. D TRUE 4. A FALSE. B: FALSE C TRUE D: TRUE

Explanation / Answer

Here is the solution to the first problem:

P: The lamp is off.
Q: The room is dark.

1. P -> Q: If the lamp is off, then the room is dark.
2. ~(~P) => P: The lamp is off.
3. ~P ^ ~Q: The lamp is not off, and the room is not dark.
4. P <-> Q: Iff the lamp is off, then the room is dark.

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