Question:

A logic circuit provides the output y as per the following truth table:
ABY
001
010
101
11

The expression for the output Y is:

Updated On: Dec 4, 2024
  • \(A.B+\overline A\)
  • \(A.\overline B+\overline A\)
  • \(\overline B\)
  • \(B\)
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The Correct Option is C

Solution and Explanation

From the truth table:
- When A = 0, B = 0, Y = 1.
- When A = 1, B = 0, Y = 1. 
- When A = 1, B = 1, Y = 0.
From the table, Y is 1 when B = 0, irrespective of A. This indicates Y = $\overline{B}$. Thus, the Boolean expression for Y is $\overline{B}$.

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