Truth Table Boolean Expression – Rankers Physics
Topic: Semiconductor Physics
Subtopic: Logic Gates

Truth Table Boolean Expression

Boolean expression for the truth table given below is (A and B are inputs and Y is output) \[\begin{array}{|c|c|c|} \hline A & B & Y \\ \hline 0 & 0 & 1 \\ \hline 0 & 1 & 0 \\ \hline 1 & 0 & 0 \\ \hline 1 & 1 & 0 \\ \hline \end{array}\]
\(\overline{A} + \overline{B}\)
\(\overline{A} \cdot \overline{B}\)
\(A + B\)
\(A \cdot B\)

Solution:

The output \(Y\) is high only when both inputs \(A\) and \(B\) are low. This corresponds to a NOR gate, represented by the expression \(Y = \overline{A+B} = \overline{A} \cdot \overline{B}\).

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