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Question

Physics Question on Logic gates

The correct truth table for the following logic circuit is :
logic circuit

A

Truth table 1

B

truth table 2

C

Truth table 3

D

Truth table 4

Answer

truth table 2

Explanation

Solution

The circuit consists of an AND gate, a NOT gate, and an OR gate. The output YY is determined as follows:

logic circuit

  1. The output of the AND gate is ABA \cdot B.
  2. The output of the NOT gate is AB\overline{A \cdot B}.
  3. The output YY is the OR of AB\overline{A \cdot B} and BB:

Y=AB+BY = \overline{A \cdot B} + B

Step-by-Step Evaluation of Truth Table:

ABA · B&overline;A · BY = &overline;A · B + B
00011
01011
10011
11101

Thus, the correct truth table is represented in Option (2).