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Q.Construct the logic symbol, Boolean expression and truth table of a NOR gate.

Chhattisgarh CgbseCGBSE Intermediate Board 2023Subjective· 3mImportance★★★★★
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Figure — Standard 2-input NOR gate logic symbol
Figure — Standard 2-input NOR gate logic symbol

NOR = NOT-OR: it is an OR gate followed by a NOT (inverter), giving output 1 only when every input is 0.

Logic symbol: A NOR gate is represented as an OR-gate symbol (curved-back input side, pointed output) with a small circle ('bubble', denoting inversion) at its output terminal, i.e. an OR gate symbol followed immediately by a small inversion circle on the output line.

Boolean expression:

Y=A+B‾Y = \overline{A + B}

i.e. the output is the complement (NOT) of the OR of the inputs AA and BB.

Truth table (2-input NOR gate):

ABA+BY=A+B‾Y=\overline{A+B}
0001
0110
1010

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